SOLUTION: you have $3.50 in dimes and quarters. If you have a total of 23 coins, how many of each type do you have?

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Question 102225This question is from textbook
: you have $3.50 in dimes and quarters. If you have a total of 23 coins, how many of each type do you have? This question is from textbook

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
D+Q=23 OR D=23-Q
.10D+.25Q=3.50 NOW REPLACE D WITH (23-Q)
.10(23-Q)+.25Q=3.50
2.30-.1Q+.25Q=3.50
.15Q=3.50-2.30
.15Q=1.20
Q=1.20/.15
Q=8 NUMBER OF QUARTERS
23-8=15 NUMBER OF DIMES.
PROOF
.10*15+.25*8=3.50
1.50+2.00=3.5
3.5=3.5