At my Farm..

Algebra Level 2

In a farm,both men and women were working.Exactly one third of the staff brought one child each.One day,each male employee planted 13 trees and each women employee planted 10 trees and each child planted 6 trees.A total of 159 trees were planted on that day.How many women employees were there in that farm?

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The answer is 7.

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1 solution

Naitik Sanghavi
Jul 17, 2015

Let the number of men =x Women=y
Children=⅓(x+y)

So as per given info... 13x+10y+6(⅓[x+y])=159 Therfore 15x+12y=159 5x+4y=53 Now,by searching possible pairs of (x,y) We get (5,7) as the only suitable pair. Thus,the answer is 7...

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