SOLUTION: your piggy bank has nickels and quarters in it.there are a total of 116 coins and $13.00 in your piggy bank.how many coins are nickels and how many are quarters?

Question 947337: your piggy bank has nickels and quarters in it.there are a total of 116 coins and $13.00 in your piggy bank.how many coins are nickels and how many are quarters?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
n=nickels; q=quarters
n+q=116
n=116-q
$0.05n+$0.25q=$13.00 Substitute for n
$0.05(116-q)+$0.25q=$13.00
$5.80-$0.05q+$0.25q=$13.00 Subtract $5.80 from each side
$0.20q=$7.20 Divide each side by $0.20
q=36 ANSWER 1: There are 36 quarters.
n=116-q=116-36=80 ANSWER 2: There are 80 nickels.
CHECK:
$0.05n+$0.25q=$13.00
$0.05(80)+$0.25(36)=413.00
$4.00+$9.00=$13.00
$13.00=$13.00
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