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Q.

If a farmer in Kansas purchases 8 pigs for every 1.5 acres of land and has 6 acres of land set aside for pigs, how many pigs will she purchase?


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a

36

b

39

c

32

d

40 

answer is C.

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Detailed Solution

Concept-
8 pigs are bought for each 1.5 acres of land. So, find what number of pigs are purchased in line with an acre of land and use it to determine the variety of pigs bought for 6 acres of land.
We know that if ‘a’ pigs are purchased for every ‘b’ acres of land, then the number of pigs purchased per acre of land is ab
Number of pigs purchased per acre of land = 81.5
We recognise that to find the wide variety of pigs bought for a selected acre of land, we need to multiply the number of acres of land with the number of pigs bought per acre. Hence, from equation (1) , we have:
Number of pigs purchased for 6 acres of land = 6×81.5
Number of pigs purchased for 6 acres of land = 4×8=32
Hence, the correct option is 3) 32
 
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