Question 972980
Q=number of quarters; D=number of dimes
Q+D=38
D=38-Q Use this to substitute for D.
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$0.25Q+$0.10D=$7.70 Substitute for D.
$0.25Q+$0.10(38-Q)=$7.70
$0.25Q+$3.80-$0.10Q=$7.70
$0.15Q=$3.90
Q=26 ANSWER 1: There are 26 quarters.
D=38-Q=38-26=12 ANSWER 2: There are 12 dimes
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CHECK:
$0.25Q+$0.10D=$7.70
$0.25(26)+$0.10(12)=$7.70
$6.50+$1.20=$7.70
$7.70=$7.70