SOLUTION: a jar contains 48 more dimes than quarters. The value of the dimes is equal to the value of the quarters. how many dimes are there?

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Question 954537: a jar contains 48 more dimes than quarters. The value of the dimes is equal to the value of the quarters. how many dimes are there?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Q=quarters; D=dimes=Q+48
$0.25Q=$0.10D Substitute for D
$0.25Q=$0.10(Q+48)
$0.25Q=$0.10Q+$4.80 Subtract $0.10Q from each side
$0.15Q=$4.80 Divide each side by $0.15
Q=32 .There are 32 quarters
D=Q+48=32+48=80 ANSWER: There are 80 dimes.
CHECK:
$0.25Q+$0.10D
$0.25(32)=$0.10(80)
$8.00=$8.00