SOLUTION: Hi a certain number of stamps was shared between tony and Jennifer. Tonys share was 600 stamps. If tonys share increased to 680 stamps, Jennifer s share decreased by 8 percent. F

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Question 1121615: Hi
a certain number of stamps was shared between tony and Jennifer. Tonys share was 600 stamps. If tonys share increased to 680 stamps, Jennifer s share decreased by 8 percent. Find Jennifer s share.
thanks
Found 2 solutions by FrankM, ikleyn:
Answer by FrankM(1040)   (Show Source): You can put this solution on YOUR website!
We can solve via a single variable.
Time 1 - Tony has 600, Jen, X, total 600+X
Time 2 - Tony has 680, Jen, X-80, total, still 600+X
Jen's share decreased by 8%, therefore X-80= .92 X
Subtract .92X from both sides. And add 80 to both sides.
.08X=80
X = 1000 and prove by seeing an 8% drop is 80 stamps.

Answer by ikleyn(52832)   (Show Source): You can put this solution on YOUR website!
.
"If Tony's share increased to 680 stamps"  means  Jennifer s share decreased by 680-600 = 80 stamps.


Let J be the initial number of Jenifer's stamps.


Then the condition says that  J-80  is  0.92*J.  In other words, you have this equation 


J - 80 = 0.92J,   or


J- 0.92J = 80,


0.08J = 80  ====>  J =  = 1000.


Answer.  Jenifer's share was 1000 stamps.


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