SOLUTION: You have 73 coins consisting of nickels and pennies. the coins total $3.25. How many coins are nickels ? how many coins are pennies?

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Question 984645: You have 73 coins consisting of nickels and pennies. the coins total $3.25. How many coins are nickels ? how many coins are pennies?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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N=number of nickels; P=number of pennies
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N+P=73
P=73-N
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$0.01P+$0.05N=$3.25
$0.01(73-N)+$0.05N=$3.25
$0.73-$0.1N+$0.05N=$3.25
$0.04N=$2.52
N=63 ANSWER 1: There are 63 nickels.
P=73-N=73-63=10 ANSWER 2: There are 10 pennies.
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CHECK:
$0.01P+$0.05N=$3.25
$0.01(10)+$0.05(63)=$3.25
$0.10+$3.15=$3.25
$3.25=$3.25