SOLUTION: From the coffee machine, Giorgio collected a total of 76 dimes and quarters. Their total value amounted to $13.00. How many dimes were there?

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Question 950486: From the coffee machine, Giorgio collected a total of 76 dimes and quarters. Their total value amounted to $13.00. How many dimes were there?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
d=dimes; q=quarters;
d+q=76
d=76-q
$0.10d+$0.25q=$13.00 Substitute for d.
$0.10(76-q)+$0.25q=$13.00
$7.60-$0.10q+$0.25q=$13.00 Subtract $7.60 from each side.
$0.15q=$5.40 Divide each side by $0.15
q=36 ANSWER 1: There were 36 quarters.
d=76-q=76=36=40 ANSWER 2: There were 40 dimes
CHECK
$0.10d+$0.25q=$13.00
$0.10(40)+$0.25(36)=$13.00
$4.00+$9.00=$13.00
$13.00=$13.00