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 sister's overtime rate is $2

Algebra ->  Linear-equations -> 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 sister's overtime rate is $2      Log On


   

Question 356976: 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 sister's 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 your work?
Answer by mananth(16946) About Me  (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 sister's 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 your work?
...
let sister work x overtime hours
I work x+2 overtime hours
..
sister's rate /h= 24
my overtime rate = 18
..
24x+18(x+2)=288
24x+18x+36=288
42x=288-36
42x=252
/42
x= 6 hours overtime by sister
8 hours overtime by me.
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6*24+18*8=288
...
m.ananth@hotmail.ca