Algebra: Numeric Fractions

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Question 445931: Use the five steps for problem solving to answer the following question. Please show all of your work.

Laura found $2.15 in quarters and nickels in the bottom of her purse. There were seven fewer quarters than nickels. How many nickels and quarters did she find?

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Answer by ewatrrr(5785)   (Show Source):

You can put this solution on YOUR website!

Hi,

Laura found $2.15 in quarters and nickels in the bottom of her purse

How many nickels and quarters did she find?

There were seven fewer quarters than nickels

Let x, (x-7)represent the number of nickels and quarters respectively

.Question states*** CENTS makes sense

5x + 25(x-7) = 215 cents

Solving for x

30x = 390

x = 13, the number of nickels. there were 6 Quarters (13-7)

CHECKING our Answer***

5*13 + 25*6 = 65 + 150 = 215cents = $2.15