SOLUTION: Joe was promised $22 and a new CD for taking care of a neighbors dog for 7 days. but when the neighbors come home after just 5 days, Joe got the CD and only $14 what was the value

Algebra ->  Average -> SOLUTION: Joe was promised $22 and a new CD for taking care of a neighbors dog for 7 days. but when the neighbors come home after just 5 days, Joe got the CD and only $14 what was the value       Log On


   

Question 830811: Joe was promised $22 and a new CD for taking care of a neighbors dog for 7 days. but when the neighbors come home after just 5 days, Joe got the CD and only $14 what was the value of the CD?

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Joe received %285%2F7%29 of the value that he planned to have.

Let d = the value of the Compact Disc.
-
%285%2F7%29%2822%2Bd%29=14%2Bd
The fraction of what Joe believed he would receive is the right-hand member. The two members appear different but are the same value.

5%2822%2Bd%29=7%2814%2Bd%29
5%2A22%2B5d=7%2A14%2B7d
5%2A22-7%2A14=7d-5d
2%285%2A11-7%2A7%29=2d
2%2855-49%29=2d
55-49=d
highlight%28d=6%29