SOLUTION: You and your sister decide to combine your weekly overtime earnings to buy a birthday gift for your mother. Your overtime rate is $18 per hour and your sisters overtime rate is $2
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Question 159898: You and your sister decide to combine your weekly overtime earnings to buy a birthday gift for your mother. Your overtime rate is $18 per hour and your sisters overtime rate is $24 per hour. the total amount earned for the gift was $288. If you worked two more hours of overtime than your sister, how many overtime hours did each of you work? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! You and your sister decide to combine your weekly overtime earnings to buy a
birthday gift for your mother. Your overtime rate is $18 per hour and your
sisters overtime rate is $24 per hour. the total amount earned for the gift
was $288. If you worked two more hours of overtime than your sister, how many
overtime hours did each of you work?
:
Let x = sister's overtime hrs
then
(x+2) = your overtime hrs
:
Your$ + sister$ = $288
18(x+2) + 24x = 288
;
18x + 36 + 24x = 288
:
18x + 24x = 288 - 36
:
42x = 252
x =
x = 6 hrs worked by sister
and
6 + 2 = 8 hrs work by you
:
:
Check solution
6(24) + 8(18) =
144 + 144 = 288
