Two boys and a girl can do a work in 5 days, while a boy and 2 girls can do it in 6 days. if the boy is paid at the rate of $28 a week. What should be the wages of the girls?

Two boys and a girl can do a work in 5 days, while a boy and 2 girls can do it in 6 days. if the boy is paid at the rate of $28 a week. What should be the wages of the girls?

A. $12
B. $16
C. $23
D. $17
E. None of these













Answer: Option B

Explanation:
2b+1g=1/5=>10b+5g=1---------(1)
1b+2g=1/6=>6b+12g=1---------(2)
from (1)&(2)
10b+5g=6b+12g
4b=7g
b:g=7:4
but above ratio is reverse b:g=4:7
wages of the girls=(4*28)/7
=4*4=16