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One collective farm got an average harvest of 21 tons of wheat per hectare 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)3350, 3150
- b)3250, 3550
- c)2150, 2450
- d)3150, 3450
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
One collective farm got an average harvest of 21 tons of wheat per h...
Check through options to solve. Option (a) is correct since if the first farm harvested 3150 tons of wheat, with an average harvest of 21 tons per hectare – the number of hectares would be 3150 / 21 = 150. The second farm would then harvest 12 hectares less (as given in the question) - thus would harvest 138 hectares with an average output of 25 tons per hectare. The total harvest would be in this case 138 X 3450 – and is 300 tons more than the first farm as required.
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Hence Option D is correct
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Most Upvoted Answer
One collective farm got an average harvest of 21 tons of wheat per h...
Given information:
- Average harvest of the first farm = 21 tons of wheat per hectare
- Average harvest of the second farm = 25 tons of wheat per hectare
- The second farm had 12 acres of land less given to wheat
- The second farm harvested 300 tons of wheat more than the first
To find:
- How many tons of wheat did each farm harvest?
Solution:
1. Let's assume the first farm had x hectares of land given to wheat.
2. Therefore, the total harvest of the first farm = 21x tons of wheat.
3. The second farm had 12 acres of land less given to wheat, which means it had x-12 hectares of land given to wheat.
4. Therefore, the total harvest of the second farm = 25(x-12) tons of wheat.
5. As per the given information, the second farm harvested 300 tons of wheat more than the first farm.
6. So, we can write an equation based on the above information:
25(x-12) - 21x = 300
7. Solving the above equation, we get x = 150.
8. Now, we can calculate the total harvest of each farm:
- Total harvest of the first farm = 21x = 21*150 = 3150 tons of wheat
- Total harvest of the second farm = 25(x-12) = 25*(150-12) = 3450 tons of wheat
Therefore, the answer is option D: 3150, 3450.
- Average harvest of the first farm = 21 tons of wheat per hectare
- Average harvest of the second farm = 25 tons of wheat per hectare
- The second farm had 12 acres of land less given to wheat
- The second farm harvested 300 tons of wheat more than the first
To find:
- How many tons of wheat did each farm harvest?
Solution:
1. Let's assume the first farm had x hectares of land given to wheat.
2. Therefore, the total harvest of the first farm = 21x tons of wheat.
3. The second farm had 12 acres of land less given to wheat, which means it had x-12 hectares of land given to wheat.
4. Therefore, the total harvest of the second farm = 25(x-12) tons of wheat.
5. As per the given information, the second farm harvested 300 tons of wheat more than the first farm.
6. So, we can write an equation based on the above information:
25(x-12) - 21x = 300
7. Solving the above equation, we get x = 150.
8. Now, we can calculate the total harvest of each farm:
- Total harvest of the first farm = 21x = 21*150 = 3150 tons of wheat
- Total harvest of the second farm = 25(x-12) = 25*(150-12) = 3450 tons of wheat
Therefore, the answer is option D: 3150, 3450.
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One collective farm got an average harvest of 21 tons of wheat per hectare 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) 3350, 3150b) 3250, 3550c) 2150, 2450d) 3150, 3450Correct answer is option 'D'. Can you explain this answer?
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One collective farm got an average harvest of 21 tons of wheat per hectare 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) 3350, 3150b) 3250, 3550c) 2150, 2450d) 3150, 3450Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about One collective farm got an average harvest of 21 tons of wheat per hectare 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) 3350, 3150b) 3250, 3550c) 2150, 2450d) 3150, 3450Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One collective farm got an average harvest of 21 tons of wheat per hectare 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) 3350, 3150b) 3250, 3550c) 2150, 2450d) 3150, 3450Correct answer is option 'D'. Can you explain this answer?.
One collective farm got an average harvest of 21 tons of wheat per hectare 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) 3350, 3150b) 3250, 3550c) 2150, 2450d) 3150, 3450Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about One collective farm got an average harvest of 21 tons of wheat per hectare 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) 3350, 3150b) 3250, 3550c) 2150, 2450d) 3150, 3450Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One collective farm got an average harvest of 21 tons of wheat per hectare 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) 3350, 3150b) 3250, 3550c) 2150, 2450d) 3150, 3450Correct answer is option 'D'. Can you explain this answer?.
Solutions for One collective farm got an average harvest of 21 tons of wheat per hectare 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) 3350, 3150b) 3250, 3550c) 2150, 2450d) 3150, 3450Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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