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?

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) (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

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