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Three cups of ice cream, two burgers and four soft drinks together cost Rs. 128. Two cups of ice cream, one burger and two soft drinks together cost Rs. 74. What is the cost of five burgers and ten soft drinks?
- a)Rs. 160
- b)Rs. 128
- c)Rs. 170
- d)Cannot be determined
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Three cups of ice cream, two burgers and four soft drinks together cos...
Let's solve this problem step by step.
Step 1: Assign variables
Let's assign variables to the cost of each item:
- Let the cost of one cup of ice cream be "x"
- Let the cost of one burger be "y"
- Let the cost of one soft drink be "z"
Step 2: Form equations
Based on the given information, we can form two equations:
Equation 1: 3x + 2y + 4z = 128 (Three cups of ice cream, two burgers, and four soft drinks together cost Rs. 128)
Equation 2: 2x + y + 2z = 74 (Two cups of ice cream, one burger, and two soft drinks together cost Rs. 74)
Step 3: Solve the equations
We can solve the equations using a method called substitution or elimination. In this case, let's use the substitution method.
From Equation 2, we can express y in terms of x and z:
y = 74 - 2x - 2z
Substitute this value of y into Equation 1:
3x + 2(74 - 2x - 2z) + 4z = 128
3x + 148 - 4x - 4z + 4z = 128
-x = -20
x = 20
Now substitute the value of x back into Equation 2 to find the value of z:
2(20) + y + 2z = 74
40 + y + 2z = 74
y + 2z = 34
Substitute the value of y from Equation 2 into the above equation:
74 - 2x - 2z + 2z = 34
74 - 2(20) = 34
74 - 40 = 34
34 = 34
Step 4: Find the cost of five burgers and ten soft drinks
We have found the values of x = 20 and z = 0. Now substitute these values into Equation 2 to find the value of y:
2(20) + y + 2(0) = 74
40 + y = 74
y = 34
The cost of one burger is 34 and the cost of one soft drink is 0. Therefore, the cost of five burgers and ten soft drinks would be:
5 * 34 + 10 * 0 = 170
Hence, the cost of five burgers and ten soft drinks is Rs. 170. Therefore, option C is the correct answer.
Step 1: Assign variables
Let's assign variables to the cost of each item:
- Let the cost of one cup of ice cream be "x"
- Let the cost of one burger be "y"
- Let the cost of one soft drink be "z"
Step 2: Form equations
Based on the given information, we can form two equations:
Equation 1: 3x + 2y + 4z = 128 (Three cups of ice cream, two burgers, and four soft drinks together cost Rs. 128)
Equation 2: 2x + y + 2z = 74 (Two cups of ice cream, one burger, and two soft drinks together cost Rs. 74)
Step 3: Solve the equations
We can solve the equations using a method called substitution or elimination. In this case, let's use the substitution method.
From Equation 2, we can express y in terms of x and z:
y = 74 - 2x - 2z
Substitute this value of y into Equation 1:
3x + 2(74 - 2x - 2z) + 4z = 128
3x + 148 - 4x - 4z + 4z = 128
-x = -20
x = 20
Now substitute the value of x back into Equation 2 to find the value of z:
2(20) + y + 2z = 74
40 + y + 2z = 74
y + 2z = 34
Substitute the value of y from Equation 2 into the above equation:
74 - 2x - 2z + 2z = 34
74 - 2(20) = 34
74 - 40 = 34
34 = 34
Step 4: Find the cost of five burgers and ten soft drinks
We have found the values of x = 20 and z = 0. Now substitute these values into Equation 2 to find the value of y:
2(20) + y + 2(0) = 74
40 + y = 74
y = 34
The cost of one burger is 34 and the cost of one soft drink is 0. Therefore, the cost of five burgers and ten soft drinks would be:
5 * 34 + 10 * 0 = 170
Hence, the cost of five burgers and ten soft drinks is Rs. 170. Therefore, option C is the correct answer.
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Community Answer
Three cups of ice cream, two burgers and four soft drinks together cos...
Let cost of each ice cream, burger and soft drink is x, y and z respectively.
3x + 2y + 4z = 128 ---- (i)
2x + y + 2z = 74 ---- (ii)
Multiply 3 × (ii) and 2 × (i), we get
6x + 3y + 6z = 222 ----(iii)
6x + 4y + 8z = 256 ----(iv)
substract equation (iv) to equation (iii)
y + 2z = 34
Multiply the above equation by 5
we get,
5 (y + 2z) = 5 × 34
5y + 10z = 170
∴ cost of 5 burgers and 10 soft drinks = 34 × 5 = 170
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Three cups of ice cream, two burgers and four soft drinks together cost Rs. 128. Two cups of ice cream, one burger and two soft drinks together cost Rs. 74. What is the cost of five burgers and ten soft drinks?a)Rs. 160b)Rs. 128c)Rs. 170d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
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Three cups of ice cream, two burgers and four soft drinks together cost Rs. 128. Two cups of ice cream, one burger and two soft drinks together cost Rs. 74. What is the cost of five burgers and ten soft drinks?a)Rs. 160b)Rs. 128c)Rs. 170d)Cannot be determinedCorrect answer is option 'C'. 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 Three cups of ice cream, two burgers and four soft drinks together cost Rs. 128. Two cups of ice cream, one burger and two soft drinks together cost Rs. 74. What is the cost of five burgers and ten soft drinks?a)Rs. 160b)Rs. 128c)Rs. 170d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three cups of ice cream, two burgers and four soft drinks together cost Rs. 128. Two cups of ice cream, one burger and two soft drinks together cost Rs. 74. What is the cost of five burgers and ten soft drinks?a)Rs. 160b)Rs. 128c)Rs. 170d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
Three cups of ice cream, two burgers and four soft drinks together cost Rs. 128. Two cups of ice cream, one burger and two soft drinks together cost Rs. 74. What is the cost of five burgers and ten soft drinks?a)Rs. 160b)Rs. 128c)Rs. 170d)Cannot be determinedCorrect answer is option 'C'. 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 Three cups of ice cream, two burgers and four soft drinks together cost Rs. 128. Two cups of ice cream, one burger and two soft drinks together cost Rs. 74. What is the cost of five burgers and ten soft drinks?a)Rs. 160b)Rs. 128c)Rs. 170d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three cups of ice cream, two burgers and four soft drinks together cost Rs. 128. Two cups of ice cream, one burger and two soft drinks together cost Rs. 74. What is the cost of five burgers and ten soft drinks?a)Rs. 160b)Rs. 128c)Rs. 170d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
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Three cups of ice cream, two burgers and four soft drinks together cost Rs. 128. Two cups of ice cream, one burger and two soft drinks together cost Rs. 74. What is the cost of five burgers and ten soft drinks?a)Rs. 160b)Rs. 128c)Rs. 170d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Three cups of ice cream, two burgers and four soft drinks together cost Rs. 128. Two cups of ice cream, one burger and two soft drinks together cost Rs. 74. What is the cost of five burgers and ten soft drinks?a)Rs. 160b)Rs. 128c)Rs. 170d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Three cups of ice cream, two burgers and four soft drinks together cost Rs. 128. Two cups of ice cream, one burger and two soft drinks together cost Rs. 74. What is the cost of five burgers and ten soft drinks?a)Rs. 160b)Rs. 128c)Rs. 170d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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