Question

Question #63686

Answer 1

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 , `8x +3y = 2240 (1)`
`6x +18y = 4200 (2)`
Multplying equation (1) by `6` and equation (2) by `1` we get
`48x +18y = 13440 (3)`
`6x +18y = 4200 (4)`. 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]