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# An amount of \$351.78 is to be distributed as wages amongst a man, a wo

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Re: An amount of \$351.78 is to be distributed as wages amongst a man, a wo [#permalink]
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Given: An amount of \$351.78 is to be distributed as wages amongst a man, a woman and a boy. The man worked for 27 days, the woman for 23 days and the boy for 19 days. The woman and the boy together can do the same amount of work that the man does and the man and the boy together can do 1.5 times the work that the woman does in a fixed time.

Asked: How much would the man earn?

Let us assume that wages of a man, a woman and a boy be m, w & b respectively

m = w + b
m + b = 1.5w
w + 2b = 1.5w
.5w = 2b
w = 4b
m = w + b = 5b

27m + 23w + 19b = 351.78
27*5b + 23*4b + 19b = 351.78
135b + 92b + 19b = 351.78
246b = 351.78
b = 351.78/246

Earning of the man = 27m = 27*5b = 135*351.78/246 = \$193.05

IMO B
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Re: An amount of \$351.78 is to be distributed as wages amongst a man, a wo [#permalink]
While I got the answer, I got stuck at 135*351.78/246. How would you calculate that in a GMAT without calculator in the time frame?
Re: An amount of \$351.78 is to be distributed as wages amongst a man, a wo [#permalink]
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