SOLUTION: If Courtney has 2 more dimes than quarters and they have a combined value of 265 cents, how many of each coin does she have?

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Question 1129564: If Courtney has 2 more dimes than quarters and they have a combined value of 265 cents, how many of each coin does she have?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
If Courtney has 2 more dimes than quarters
So she has N quarters 
and she has N+2 dimes

The N quarters have value of 25N cents.
The N+2 dimes have value of 10(N+2) cents.

and they have a combined value of 265 cents,
So we add the values of the quarters and dimes and set the sum
equal to 265 cents.

25N + 10(N+2) = 265

Solve that to get N, the number of quarters.
Then add 2 to get the number of dimes.
Check by figuring the amount of money in that many quarters and dimes,
to see if it totals up to 265 cents.

Edwin