Question 950443: a youth organization collected nickels and dimes for a charity drive. by the end of the 1-day drive, the youth had collected $63.80. if there were five times as many dimes as nickels, how many of each type of coin is collected?
Answer by macston(5194)   (Show Source):
You can put this solution on YOUR website! a youth organization collected nickels and dimes for a charity drive. by the end of the 1-day drive, the youth had collected $63.80. if there were five times as many dimes as nickels, how many of each type of coin is collected?
n=nickels; d=dimes=5n
$0.05n+$0.10d=$63.80 Substitute for d.
$0.05n+$0.10(5n)=$63.80
$0.05n+$0.50n=$63.80
$0.55n=$63.80 Divide each side by $0.55.
n=116 ANSWER 1: There were 116 nickels
d=5n=580 ANSWER 2: There were 580 dimes
CHECK
$0.05n+$0.10d=$63.80
$0.05(116)+$0.10(580)=$63.80
$5.80+$58.00=$63.80
$63.80=$63.80
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