The Cunning Farmer

Algebra Level 2

A cunning farmer,when asked how many sheep he has,replied,"One-third of my sheep are in the barn,and one-fifth are in the pasture.Three times the difference between these 2 numbers equals the amount of newborns.My daughter has 1 as a pet." How many sheep does the farmer have?

16 15 19 12

Lim Xiangying by Lim Xiangying , 21, Singapore

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2 solutions

Lim Xiangying
Dec 28, 2017

5 in the barn,3 in the pasture,3*(5-3) or 6 newborns,and 1 pet.

1 Helpful 1 Interesting 1 Brilliant 0 Confused
Edwin Gray
May 3, 2019

Let n = total number of sheep. Assuming no newborns are in the barn or pasture, n = n/3 + n/5 +(3)*(n/3 - n/5 ) + .1, or n = n/3 + n/5 + n - 3n/5 + 1, and 0 = n/3 + n/5 - 3n/5 + 1. Multiplying by 15, 0 = 5n + 3n - 9n +15, or n = 15.

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