# Question 63686

Feb 8, 2017

Daily rate of each man and each boy was $220 and$160 respectively.

#### Explanation:

Let the amount paid to a man for 1 day is $x and the amount paid to a boy for 1 day is $y
By given condition , $8 x + 3 y = 2240 \left(1\right)$
$6 x + 18 y = 4200 \left(2\right)$
Multplying equation (1) by $6$ and equation (2) by $1$ we get
$48 x + 18 y = 13440 \left(3\right)$
$6 x + 18 y = 4200 \left(4\right)$. subtracting (3) from (4) we get 42x=9240 or x= $220 ; 3y =2240 - 8*220 = 480 or y = 480/3 =$160

Daily rate of each man was $220 and Daily rate of each boy was $160# [Ans]