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One collective farm got an average harvest of 21 tons of wheat and another collective farm that had 12 acres of land less given to wheat, got 25 tons from a hectare. As a result, the second farm harvested 300 tons of wheat more than the first. How many tons of wheat did each farm harvest?
- a)3150, 3450
- b)3250, 3550
- c)2150, 2450
- d)3350, 3150
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
One collective farm got an average harvest of 21 tons of wheat and ano...
Let's solve the problem again step by step, ensuring accuracy:
- Let the area of the first farm be AAA acres.
- Therefore, the area of the second farm is A−12A - 12A−12 acres.
Given that:
- The first farm gets an average harvest of 21 tons of wheat per acre.
- The second farm gets an average harvest of 25 tons of wheat per acre.
- The second farm harvested 300 tons more wheat than the first.
Set up the equations:
- The total harvest of the first farm: 21A21A21A tons
- The total harvest of the second farm: 25(A−12)25(A - 12)25(A−12) tons
- The difference in harvest: 25(A−12)−21A=30025(A - 12) - 21A = 30025(A−12)−21A=300
Solve the equation: 25A−300−21A=30025A - 300 - 21A = 30025A−300−21A=300 4A−300=3004A - 300 = 3004A−300=300 4A=6004A = 6004A=600 A=150A = 150A=150
The area of the first farm is 150 acres, and the area of the second farm is 150−12=138150 - 12 = 138150−12=138 acres.
Calculate the total harvest for each farm:
- The first farm: 21×150=315021 \times 150 = 315021×150=3150 tons
- The second farm: 25×138=345025 \times 138 = 345025×138=3450 tons
The correct answer is:
- 3150, 3450
Most Upvoted Answer
One collective farm got an average harvest of 21 tons of wheat and ano...
The harvest of first Fram is 21 tons
let the farm be x
The harvest of second farm is 25tons
Given
the second farm is 12 less than first I.e x-12
the first farm = 21x
Second farm = 25[ x-12]
The second farm harvest is 300 more than first I.e 21x+300
25[x-12]= 21x+300
25x-300=21x+300
substituting
25x-21x = 300+300=600
4x=600
x=150
The first farm is of 150 acres
Second farm is 150-12 =138 acres
the harvest of first farm [21x] = 150x21 = 3150
The harvest of second farm is 25x = 138×25 = 3450
this even meets the condition second farm is 300> first farm
let the farm be x
The harvest of second farm is 25tons
Given
the second farm is 12 less than first I.e x-12
the first farm = 21x
Second farm = 25[ x-12]
The second farm harvest is 300 more than first I.e 21x+300
25[x-12]= 21x+300
25x-300=21x+300
substituting
25x-21x = 300+300=600
4x=600
x=150
The first farm is of 150 acres
Second farm is 150-12 =138 acres
the harvest of first farm [21x] = 150x21 = 3150
The harvest of second farm is 25x = 138×25 = 3450
this even meets the condition second farm is 300> first farm
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Community Answer
One collective farm got an average harvest of 21 tons of wheat and ano...
Let's assume that the first collective farm had x acres of land and the second collective farm had (x-12) acres of land.
First collective farm's harvest:
- Average harvest = 21 tons of wheat
- Total harvest = 21x tons of wheat
Second collective farm's harvest:
- Harvest per hectare = 25 tons of wheat
- Total hectares of land used for wheat = (x-12) hectares
- Total harvest = 25(x-12) tons of wheat
Now, we are given that the second farm harvested 300 tons of wheat more than the first farm. So, we can set up an equation:
25(x-12) - 21x = 300
Simplifying this equation, we get:
4x = 420
x = 105
So, the first collective farm had 105 acres of land and the second collective farm had (105-12) = 93 acres of land.
Calculating the harvest for each farm:
- First collective farm's harvest = 21x = 21(105) = 2205 tons of wheat
- Second collective farm's harvest = 25(93) = 2325 tons of wheat
Therefore, the answer is option A: 3150 tons for the first farm and 3450 tons for the second farm.
First collective farm's harvest:
- Average harvest = 21 tons of wheat
- Total harvest = 21x tons of wheat
Second collective farm's harvest:
- Harvest per hectare = 25 tons of wheat
- Total hectares of land used for wheat = (x-12) hectares
- Total harvest = 25(x-12) tons of wheat
Now, we are given that the second farm harvested 300 tons of wheat more than the first farm. So, we can set up an equation:
25(x-12) - 21x = 300
Simplifying this equation, we get:
4x = 420
x = 105
So, the first collective farm had 105 acres of land and the second collective farm had (105-12) = 93 acres of land.
Calculating the harvest for each farm:
- First collective farm's harvest = 21x = 21(105) = 2205 tons of wheat
- Second collective farm's harvest = 25(93) = 2325 tons of wheat
Therefore, the answer is option A: 3150 tons for the first farm and 3450 tons for the second farm.
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One collective farm got an average harvest of 21 tons of wheat and another collective farm that had 12 acres of land less given to wheat, got 25 tons from a hectare. As a result, the second farm harvested 300 tons of wheat more than the first. How many tons of wheat did each farm harvest?a)3150, 3450b)3250, 3550c)2150, 2450d)3350, 3150Correct answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about One collective farm got an average harvest of 21 tons of wheat and another collective farm that had 12 acres of land less given to wheat, got 25 tons from a hectare. As a result, the second farm harvested 300 tons of wheat more than the first. How many tons of wheat did each farm harvest?a)3150, 3450b)3250, 3550c)2150, 2450d)3350, 3150Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One collective farm got an average harvest of 21 tons of wheat and another collective farm that had 12 acres of land less given to wheat, got 25 tons from a hectare. As a result, the second farm harvested 300 tons of wheat more than the first. How many tons of wheat did each farm harvest?a)3150, 3450b)3250, 3550c)2150, 2450d)3350, 3150Correct answer is option 'A'. Can you explain this answer?.
One collective farm got an average harvest of 21 tons of wheat and another collective farm that had 12 acres of land less given to wheat, got 25 tons from a hectare. As a result, the second farm harvested 300 tons of wheat more than the first. How many tons of wheat did each farm harvest?a)3150, 3450b)3250, 3550c)2150, 2450d)3350, 3150Correct answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about One collective farm got an average harvest of 21 tons of wheat and another collective farm that had 12 acres of land less given to wheat, got 25 tons from a hectare. As a result, the second farm harvested 300 tons of wheat more than the first. How many tons of wheat did each farm harvest?a)3150, 3450b)3250, 3550c)2150, 2450d)3350, 3150Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One collective farm got an average harvest of 21 tons of wheat and another collective farm that had 12 acres of land less given to wheat, got 25 tons from a hectare. As a result, the second farm harvested 300 tons of wheat more than the first. How many tons of wheat did each farm harvest?a)3150, 3450b)3250, 3550c)2150, 2450d)3350, 3150Correct answer is option 'A'. Can you explain this answer?.
Solutions for One collective farm got an average harvest of 21 tons of wheat and another collective farm that had 12 acres of land less given to wheat, got 25 tons from a hectare. As a result, the second farm harvested 300 tons of wheat more than the first. How many tons of wheat did each farm harvest?a)3150, 3450b)3250, 3550c)2150, 2450d)3350, 3150Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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