# Deangelo has $7 worth of dimes and quarters in a jar. He has 7 more quarters than dimes. How many of each coin does he have?

QUESTION POSTED AT 02/12/2019 - 07:54 AM

QUESTION POSTED AT 02/12/2019 - 07:54 AM

0.10d +0.25q = 7.00

multiply everything by 100 to get rid of decimals

q = d+7 ( 7 more quarters than dimes)

10d +25(d+7) = 700

10d + 25d +175 = 700

35d +175 = 700

subtract 175 from each side

35d =525

d = 525 / 35 = 15

**15 dimes**

** quarters = 15 +7 = 22**