A farmer buy a horses and cows for rs.1428.if he paid rs.55 for a horse and rs.32 for a cow and if he has twice the number of cows as horses how many horses did he buy?
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Answer:
12
Step-by-step explanation:
let number of horses = x
cows = = 2x
32(2x) + 55(x) = 1428
119x = 1428 => x = 12
he bought 12 horses
Answered by
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Given - Total cost and cost of horses and cows
Find - Number of horses and cows
Solution - Let the number of horses be x. So, number of cows will be 2x.
As per the question-
x*55 + 2x*32 = 1428
Performing multiplication on Left Hand Side
55x + 64x = 1428
Performing addition
119x = 1428
x = 1428/119
Performing division to find the value of x
x = 12
Number of horses = 12
Number of cows = 2x
Number of cows = 2*12
Performing multiplication
Number of cows = 24
Hence, number of cows and horses are 24 and 12. Therefore, he bought 12 horses.
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