SOLUTION: Debbie has 16 coins, all nickels and dimes.The total value of the coins is $1.15. How many dimes and nickels does Debbie have ?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Debbie has 16 coins, all nickels and dimes.The total value of the coins is $1.15. How many dimes and nickels does Debbie have ?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 953234: Debbie has 16 coins, all nickels and dimes.The total value of the coins is $1.15. How many dimes and nickels does Debbie have ?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
n=nickels; d=dimes
n+d=16
d=16-n
$0.05n+$0.10d=$1.15 Substitute for d
$0.05n+$0.10(16-n)=$1.15
$0.05n+$1.60-$0.10n=$1.15 Subtract $1.60 from each side.
-$0.05n=-$0.45 Divide each side by $0.05
n=9 ANSWER 1: Debbie has 9 nickels.
d=16-n=16-9=7 ANSWER 2: Debbie has 7 dimes.
CHECK:
$0.05(9)+$0.10(7)d=$1.15
$0.45+$0.70=$1.15
$1.15=$1.15