SOLUTION: Lara found two dollars & fifteen cents in quarters and nickels,there were seven fewer quarters than nickels.how many nickels and quarters did she find?I need equation on this quest

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Question 422320: Lara found two dollars & fifteen cents in quarters and nickels,there were seven fewer quarters than nickels.how many nickels and quarters did she find?I need equation on this question.
Thanks

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
there were seven fewer quarters than nickels
Let x and (x-7)represent the number of nickels and quarters respectively
Question states*** Using CENTS
5x + 25(x-7) = 215
Solving
30x = 390
x = 13, nickels and 6 Quarters
CHECKING our Answer***
5*13 + 25*6 = 215 or $2.15
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