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Two farmers were cultivating wheat on their respective agricultural land in a village. Farmer A had an average production of 20 bushels from a hectare. Farmer B, who had 15 hectares of more land dedicated to wheat cultivation, had and output of 30 bushels of wheat from a hectare. If farmer B harvested 530 bushels of wheat more than farmer A, how many bushels of wheat did farmer A cultivate?
  • a)
    50
  • b)
    80
  • c)
    160
  • d)
    200
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two farmers were cultivating wheat on their respective agricultural la...
Let's assume farmer A has ‘x’ hectare land.    
Total production of A = 20x
According to the information given to us B will have 'x+15' hectare land.    
Total production of B = 30*(x+15)
Given that : Total production of B - Total production of A = 530
 30*(x+15) - 20x = 530                             x = 8    
Thus, total production of A = 20*8 = 160 
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Most Upvoted Answer
Two farmers were cultivating wheat on their respective agricultural la...
Given, Farmer A's average production = 20 bushels/hectare
Farmer B's average production = 30 bushels/hectare
Let the area of land cultivated by Farmer A be x hectares
Then the area of land cultivated by Farmer B = (x + 15) hectares
Total production of Farmer A = 20x bushels
Total production of Farmer B = 30(x + 15) bushels = 30x + 450 bushels
It is given that Farmer B harvested 530 bushels more than Farmer A
30x + 450 - 20x = 530
10x = 80
x = 8
Therefore, Farmer A cultivated wheat on 8 hectares of land and produced 20x8 = 160 bushels of wheat. Hence, option C is the correct answer.
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Two farmers were cultivating wheat on their respective agricultural land in a village. Farmer A had an average production of 20 bushels from a hectare. Farmer B, who had 15 hectares of more land dedicated to wheat cultivation, had and output of 30 bushels of wheat from a hectare. If farmer B harvested 530 bushels of wheat more than farmer A, how many bushels of wheat did farmer A cultivate?a)50b)80c)160d)200Correct answer is option 'C'. Can you explain this answer?
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