SOLUTION: Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there? A. 25 B. 30 C. 35 D. 40

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Question 560678: Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?
A. 25
B. 30
C. 35
D. 40
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
d+q = 100 ---> q = 100-d

0.1d+0.25q=19.75

10d+25q=1975

10d+25(100-d)=1975

10d+2500-25d=1975

-15d+2500=1975

-15d=1975-2500

-15d=-525

d=(-525)/(-15)

d=35


So there are 35 dimes.
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