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Cost of 8 pencils, 5 pens and 3 erasers is Rs. 111. Cost of 9 pencils, 6 pens and 5 erasers is Rs. 130. Cost of 16 pencils, 11 pens and 3 erasers is Rs. 221. What is the cost (in Rs) of 39 pencils, 26 pens and 13 erasers?
  • a)
    316
  • b)
    546
  • c)
    624
  • d)
    482
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Cost of 8 pencils, 5 pens and 3 erasers is Rs. 111. Cost of 9 pencils,...
Let the price of single pencil, pen, and eraser be x, y, and z respectively
According to question,
8x + 5y + 3z = Rs. 111      ----(1)
9x + 6y + 5z = Rs. 130      ----(2)
16x + 11y + 3z = Rs. 221      ----(3)
Subtracting equation (1) from (3)
⇒ (16x + 11y + 3z) - (8x + 5y + 3z) = 221 - 111
⇒ 8x + 6y = 110
⇒ 4x + 3y = 55      ----(4)
Multiply the equation (2) by 3 and (3) by 5 and then subtracting equation (2) from (3)
⇒ (16x + 11y + 3z) × 5 - (9x + 6y + 5z) × 3 = 221 × 5 - 130 × 3
⇒ 80x + 55y + 15z - 27x - 18y - 15z = 1105 - 390
⇒ 53x + 37y = 715      ----(5)
Multiply the equation (4) by 53 and (5) by 4 and then subtracting equation (4) from (5)
⇒ 212x + 159y - 212x - 148y = 2915 - 2860
⇒ 11y = 55
⇒ y = 5
By putting the value of y = 5 in equation (4)
⇒ 4x + 3 × 5 = 55
⇒ x = 10
By putting the value of y = 5 and x = 10 in equation (1)
⇒ 8 × 10 + 5 × 5 + 3z = 111
⇒ 80 + 25 + 3z = 111
⇒ z = 2
∴ Cost of 39 pencils, 26 pens and 13 erasers is 39x + 26y + 13z = 39 × 10 + 26 × 5 + 13 × 2 = Rs. 546
Shortcut Trick
Let, price of 1 pencil = x, price of 1 pen = y and price of one eraser = z
Then, 8x + 5y + 3z = 111      ----(1)
9x + 6y + 5z = 130      ----(2)
16x + 11y + 3z = 221      ----(3)
Adding (1), (2) and (3), we get
33x + 22y + 11z = 462
⇒ 3x + 2y + z = 42
⇒ 39x + 26y + 13z = 546      (multiplying with 13) 
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Most Upvoted Answer
Cost of 8 pencils, 5 pens and 3 erasers is Rs. 111. Cost of 9 pencils,...
Let the price of single pencil, pen, and eraser be x, y, and z respectively
According to question,
8x + 5y + 3z = Rs. 111      ----(1)
9x + 6y + 5z = Rs. 130      ----(2)
16x + 11y + 3z = Rs. 221      ----(3)
Subtracting equation (1) from (3)
⇒ (16x + 11y + 3z) - (8x + 5y + 3z) = 221 - 111
⇒ 8x + 6y = 110
⇒ 4x + 3y = 55      ----(4)
Multiply the equation (2) by 3 and (3) by 5 and then subtracting equation (2) from (3)
⇒ (16x + 11y + 3z) × 5 - (9x + 6y + 5z) × 3 = 221 × 5 - 130 × 3
⇒ 80x + 55y + 15z - 27x - 18y - 15z = 1105 - 390
⇒ 53x + 37y = 715      ----(5)
Multiply the equation (4) by 53 and (5) by 4 and then subtracting equation (4) from (5)
⇒ 212x + 159y - 212x - 148y = 2915 - 2860
⇒ 11y = 55
⇒ y = 5
By putting the value of y = 5 in equation (4)
⇒ 4x + 3 × 5 = 55
⇒ x = 10
By putting the value of y = 5 and x = 10 in equation (1)
⇒ 8 × 10 + 5 × 5 + 3z = 111
⇒ 80 + 25 + 3z = 111
⇒ z = 2
∴ Cost of 39 pencils, 26 pens and 13 erasers is 39x + 26y + 13z = 39 × 10 + 26 × 5 + 13 × 2 = Rs. 546
Shortcut Trick
Let, price of 1 pencil = x, price of 1 pen = y and price of one eraser = z
Then, 8x + 5y + 3z = 111      ----(1)
9x + 6y + 5z = 130      ----(2)
16x + 11y + 3z = 221      ----(3)
Adding (1), (2) and (3), we get
33x + 22y + 11z = 462
⇒ 3x + 2y + z = 42
⇒ 39x + 26y + 13z = 546      (multiplying with 13) 
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Community Answer
Cost of 8 pencils, 5 pens and 3 erasers is Rs. 111. Cost of 9 pencils,...
Let the price of single pencil, pen, and eraser be x, y, and z respectively
According to question,
8x + 5y + 3z = Rs. 111      ----(1)
9x + 6y + 5z = Rs. 130      ----(2)
16x + 11y + 3z = Rs. 221      ----(3)
Subtracting equation (1) from (3)
⇒ (16x + 11y + 3z) - (8x + 5y + 3z) = 221 - 111
⇒ 8x + 6y = 110
⇒ 4x + 3y = 55      ----(4)
Multiply the equation (2) by 3 and (3) by 5 and then subtracting equation (2) from (3)
⇒ (16x + 11y + 3z) × 5 - (9x + 6y + 5z) × 3 = 221 × 5 - 130 × 3
⇒ 80x + 55y + 15z - 27x - 18y - 15z = 1105 - 390
⇒ 53x + 37y = 715      ----(5)
Multiply the equation (4) by 53 and (5) by 4 and then subtracting equation (4) from (5)
⇒ 212x + 159y - 212x - 148y = 2915 - 2860
⇒ 11y = 55
⇒ y = 5
By putting the value of y = 5 in equation (4)
⇒ 4x + 3 × 5 = 55
⇒ x = 10
By putting the value of y = 5 and x = 10 in equation (1)
⇒ 8 × 10 + 5 × 5 + 3z = 111
⇒ 80 + 25 + 3z = 111
⇒ z = 2
∴ Cost of 39 pencils, 26 pens and 13 erasers is 39x + 26y + 13z = 39 × 10 + 26 × 5 + 13 × 2 = Rs. 546
Shortcut Trick
Let, price of 1 pencil = x, price of 1 pen = y and price of one eraser = z
Then, 8x + 5y + 3z = 111      ----(1)
9x + 6y + 5z = 130      ----(2)
16x + 11y + 3z = 221      ----(3)
Adding (1), (2) and (3), we get
33x + 22y + 11z = 462
⇒ 3x + 2y + z = 42
⇒ 39x + 26y + 13z = 546      (multiplying with 13) 
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Question are based on the following passages and supplementary material.Passage 1 is from F. J. Medina, “How to Talk about Sustainability." ©2015 College Hill Coaching. Passage 2 is adapted from an essay published in 2005 about the economic analysis of environmental decisions.Passage 1Many proponents of recycling assume thatrecycling industrial, domestic, and commercialmaterials does less harm to the environment thandoes extracting new raw materials. Opponents, on(5) the other hand, scrutinize the costs of recycling,arguing that recycling programs often waste moremoney than they save, and that companies canoften produce new products more cheaply thanthey can recycle old ones. The discussion usually(10) devolves into a political battle between theenemies of the economy and the enemies of theenvironment.This demonization serves the debaters(and their fundraisers) but not the debate.(15) Environmentalists are not all ignorant anarchists,and opponents of recycling are not all rapaciousblowhards. For real solutions, we must soberlycompare the many costs and benefits of recyclingwith the many costs and benefits of disposal, as(20) if we are all stewards of both the earth and theeconomy.We must examine the full life cycles ofvarious materials, and the broad effects thesecycles have on both the environment and(25) economy. When debating the cost of a newroad, for instance, it is not enough to simplyconsider the cost of the labor or the provenanceof the materials. We must ask, what naturalbenefits, like water filtration and animal and(30) plant habitats, are being lost in the construction?Where will the road materials be in a hundredyears, and what will they be doing? What kindsof industries will the road construction andmaintenance support? How will the extra traffic(35) affect air and noise quality, or safety? Is the roadmade of local or imported materials? Are anymaterials being imported from countries withirresponsible labor or environmental practices?Is the contractor chosen through a fair and open(40) bidding process? How might the road surfaceaffect the life span or efficiency of the cars drivingon it? What will be the annual maintenance cost,financially and environmentally?Appreciating opposing viewpoints can lead(45) to important insights. Perhaps nature can doa more efficient and safer job of reusing wastematter than a recycling plant can. Perhaps aneconomic system that accounts for environmentalcosts and benefits will lead to a higher standard(50) of living for the average citizen. Perhaps insertingsome natural resources into a responsible“industrial cycle” is better for the environmentthan conserving those resources. Exploring suchpossibilities openly and respectfully will lead us(55) more reliably to both a healthier economy and ahealthier environment.Passage 2When trying to quantify the costs andbenefits of preserving our natural ecosystems,one difficulty lies in the diffuseness of these(60) effects. Economists have a relatively easy timewith commerce, because money and goods canbe tracked through a series of point-to-pointexchanges. 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Question are based on the following passages and supplementary material.Passage 1 is from F. J. Medina, “How to Talk about Sustainability." ©2015 College Hill Coaching. Passage 2 is adapted from an essay published in 2005 about the economic analysis of environmental decisions.Passage 1Many proponents of recycling assume thatrecycling industrial, domestic, and commercialmaterials does less harm to the environment thandoes extracting new raw materials. Opponents, on(5) the other hand, scrutinize the costs of recycling,arguing that recycling programs often waste moremoney than they save, and that companies canoften produce new products more cheaply thanthey can recycle old ones. 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We must ask, what naturalbenefits, like water filtration and animal and(30) plant habitats, are being lost in the construction?Where will the road materials be in a hundredyears, and what will they be doing? What kindsof industries will the road construction andmaintenance support? How will the extra traffic(35) affect air and noise quality, or safety? Is the roadmade of local or imported materials? Are anymaterials being imported from countries withirresponsible labor or environmental practices?Is the contractor chosen through a fair and open(40) bidding process? How might the road surfaceaffect the life span or efficiency of the cars drivingon it? What will be the annual maintenance cost,financially and environmentally?Appreciating opposing viewpoints can lead(45) to important insights. Perhaps nature can doa more efficient and safer job of reusing wastematter than a recycling plant can. Perhaps aneconomic system that accounts for environmentalcosts and benefits will lead to a higher standard(50) of living for the average citizen. Perhaps insertingsome natural resources into a responsible“industrial cycle” is better for the environmentthan conserving those resources. Exploring suchpossibilities openly and respectfully will lead us(55) more reliably to both a healthier economy and ahealthier environment.Passage 2When trying to quantify the costs andbenefits of preserving our natural ecosystems,one difficulty lies in the diffuseness of these(60) effects. Economists have a relatively easy timewith commerce, because money and goods canbe tracked through a series of point-to-pointexchanges. When you pay for something, theexchange of money makes the accounting simple.(65) The diffuse, unchosen costs and benefits thataffect all of us daily—annoying commercials or abeautiful sunset, for instance—are much harderto evaluate.The benefits that ecosystems provide, like(70) biodiversity, the filtration of groundwater, themaintenance of the oxygen and nitrogen cycles,and climate stability, however, are not bought-and-sold commodities. Without them our liveswould deteriorate dramatically, but they are(75) not part of a clear exchange, so they fall into theclass of benefits and costs that economists call“externalities.”The “good feeling” that many people haveabout recycling and maintaining environmental(80) quality is just such an externality. Antienvironmentalists often ridicule such feelingsas unquantifiable, but their value is real: somestock funds only invest in companies with goodenvironmental records, and environmental(85) litigation can have steep costs in terms of moneyand goodwill.Robert Costanza, formerly of the Centerfor Environmental Science at the Universityof Maryland, has attempted to quantify these(90) “external” ecological benefits by tallying thecost to replace natures services. Imagine, forinstance, paving over the Florida Everglades andthen building systems to restore its lost benefits,such as gas conversion and sequestering,(95) food production, water filtration, and weatherregulation. How much would it cost to keep thesesystems running? Not even accounting for someof the most important externalities, like naturalbeauty, the cost would be extraordinarily high.(100) Costanza places it “conservatively” at $33 trilliondollars annually, far more than the economicoutput of all of the countries in the world.Some object to Costanzas cost analysis.Environmentalists argue that we cannot possibly(105) put a price on the smell of heather and a coolbreeze, while industrialists argue that the taskis speculative, unreliable, and an impedimentto economic progress. Nevertheless, Costanzaswork is among the most cited in the fields of(110) environmental science and economics. Forany flaws it might have, his work is giving acommon vocabulary to industrialists andenvironmentalists alike, which we must do ifwe are to coordinate intelligent environmental(115) policy with responsible economic policy.Q.The diagram provides information most relevant to

Question are based on the following passages and supplementary material.Passage 1 is from F. J. Medina, “How to Talk about Sustainability." ©2015 College Hill Coaching. Passage 2 is adapted from an essay published in 2005 about the economic analysis of environmental decisions.Passage 1Many proponents of recycling assume thatrecycling industrial, domestic, and commercialmaterials does less harm to the environment thandoes extracting new raw materials. Opponents, on(5) the other hand, scrutinize the costs of recycling,arguing that recycling programs often waste moremoney than they save, and that companies canoften produce new products more cheaply thanthey can recycle old ones. The discussion usually(10) devolves into a political battle between theenemies of the economy and the enemies of theenvironment.This demonization serves the debaters(and their fundraisers) but not the debate.(15) Environmentalists are not all ignorant anarchists,and opponents of recycling are not all rapaciousblowhards. For real solutions, we must soberlycompare the many costs and benefits of recyclingwith the many costs and benefits of disposal, as(20) if we are all stewards of both the earth and theeconomy.We must examine the full life cycles ofvarious materials, and the broad effects thesecycles have on both the environment and(25) economy. When debating the cost of a newroad, for instance, it is not enough to simplyconsider the cost of the labor or the provenanceof the materials. We must ask, what naturalbenefits, like water filtration and animal and(30) plant habitats, are being lost in the construction?Where will the road materials be in a hundredyears, and what will they be doing? What kindsof industries will the road construction andmaintenance support? How will the extra traffic(35) affect air and noise quality, or safety? Is the roadmade of local or imported materials? Are anymaterials being imported from countries withirresponsible labor or environmental practices?Is the contractor chosen through a fair and open(40) bidding process? How might the road surfaceaffect the life span or efficiency of the cars drivingon it? What will be the annual maintenance cost,financially and environmentally?Appreciating opposing viewpoints can lead(45) to important insights. Perhaps nature can doa more efficient and safer job of reusing wastematter than a recycling plant can. Perhaps aneconomic system that accounts for environmentalcosts and benefits will lead to a higher standard(50) of living for the average citizen. Perhaps insertingsome natural resources into a responsible“industrial cycle” is better for the environmentthan conserving those resources. Exploring suchpossibilities openly and respectfully will lead us(55) more reliably to both a healthier economy and ahealthier environment.Passage 2When trying to quantify the costs andbenefits of preserving our natural ecosystems,one difficulty lies in the diffuseness of these(60) effects. Economists have a relatively easy timewith commerce, because money and goods canbe tracked through a series of point-to-pointexchanges. When you pay for something, theexchange of money makes the accounting simple.(65) The diffuse, unchosen costs and benefits thataffect all of us daily—annoying commercials or abeautiful sunset, for instance—are much harderto evaluate.The benefits that ecosystems provide, like(70) biodiversity, the filtration of groundwater, themaintenance of the oxygen and nitrogen cycles,and climate stability, however, are not bought-and-sold commodities. Without them our liveswould deteriorate dramatically, but they are(75) not part of a clear exchange, so they fall into theclass of benefits and costs that economists call“externalities.”The “good feeling” that many people haveabout recycling and maintaining environmental(80) quality is just such an externality. Antienvironmentalists often ridicule such feelingsas unquantifiable, but their value is real: somestock funds only invest in companies with goodenvironmental records, and environmental(85) litigation can have steep costs in terms of moneyand goodwill.Robert Costanza, formerly of the Centerfor Environmental Science at the Universityof Maryland, has attempted to quantify these(90) “external” ecological benefits by tallying thecost to replace natures services. Imagine, forinstance, paving over the Florida Everglades andthen building systems to restore its lost benefits,such as gas conversion and sequestering,(95) food production, water filtration, and weatherregulation. How much would it cost to keep thesesystems running? Not even accounting for someof the most important externalities, like naturalbeauty, the cost would be extraordinarily high.(100) Costanza places it “conservatively” at $33 trilliondollars annually, far more than the economicoutput of all of the countries in the world.Some object to Costanzas cost analysis.Environmentalists argue that we cannot possibly(105) put a price on the smell of heather and a coolbreeze, while industrialists argue that the taskis speculative, unreliable, and an impedimentto economic progress. Nevertheless, Costanzaswork is among the most cited in the fields of(110) environmental science and economics. Forany flaws it might have, his work is giving acommon vocabulary to industrialists andenvironmentalists alike, which we must do ifwe are to coordinate intelligent environmental(115) policy with responsible economic policy.Q.Unlike Passage 2, Passage 1 specifically discusses

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Cost of 8 pencils, 5 pens and 3 erasers is Rs. 111. Cost of 9 pencils, 6 pens and 5 erasers is Rs. 130. Cost of 16 pencils, 11 pens and 3 erasers is Rs. 221. What is the cost (in Rs) of 39 pencils, 26 pens and 13 erasers?a)316b)546c)624d)482Correct answer is option 'B'. Can you explain this answer?
Question Description
Cost of 8 pencils, 5 pens and 3 erasers is Rs. 111. Cost of 9 pencils, 6 pens and 5 erasers is Rs. 130. Cost of 16 pencils, 11 pens and 3 erasers is Rs. 221. What is the cost (in Rs) of 39 pencils, 26 pens and 13 erasers?a)316b)546c)624d)482Correct answer is option 'B'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about Cost of 8 pencils, 5 pens and 3 erasers is Rs. 111. Cost of 9 pencils, 6 pens and 5 erasers is Rs. 130. Cost of 16 pencils, 11 pens and 3 erasers is Rs. 221. What is the cost (in Rs) of 39 pencils, 26 pens and 13 erasers?a)316b)546c)624d)482Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Cost of 8 pencils, 5 pens and 3 erasers is Rs. 111. Cost of 9 pencils, 6 pens and 5 erasers is Rs. 130. Cost of 16 pencils, 11 pens and 3 erasers is Rs. 221. What is the cost (in Rs) of 39 pencils, 26 pens and 13 erasers?a)316b)546c)624d)482Correct answer is option 'B'. Can you explain this answer?.
Solutions for Cost of 8 pencils, 5 pens and 3 erasers is Rs. 111. Cost of 9 pencils, 6 pens and 5 erasers is Rs. 130. Cost of 16 pencils, 11 pens and 3 erasers is Rs. 221. What is the cost (in Rs) of 39 pencils, 26 pens and 13 erasers?a)316b)546c)624d)482Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for SAT. Download more important topics, notes, lectures and mock test series for SAT Exam by signing up for free.
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