Question #63686

1 Answer
Feb 8, 2017

Answer:

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]