SOLUTION: You have $3.70 in dimes and quarters, You have 5 more quarters than dimes. How many of each type of coin do you have?

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Question 955220: You have $3.70 in dimes and quarters, You have 5 more quarters than dimes. How many of each type of coin do you have?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
D=dimes; Q=quarters=D+5
$0.10D+$0.25Q=$3.70 Substitute for Q.
$0.10D+$0.25(D+5)=$3.70
$0.10D+$0.25+$1.25=$3.70 Subtract $1.25 from each side.
$0.35D=$2.45 Divide each side by $0.35.
D=7 ANSWER 1: There are 7 dimes.
Q=D+5=7+5=12 ANSWER 2: there are 12 quarters.
CHECK:
$0.10D+$0.25Q=$3.70
$0.10(7)+$0.25(12)=$3.70
$0.70+$3.00=$3.70
$3.70=$3.70