SOLUTION: With $2.78 and 98 coins consisting of only nickels and pennies, how many of each coin will I have

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Question 987082: With $2.78 and 98 coins consisting of only nickels and pennies, how many of each coin will I have
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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P=number of pennies; N=number of nickels
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P+N=98
P=98-N
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$0.01P+$0.05N=$2.78
$0.01(98-N)+$0.05N=$2.78
$0.98-$0.01N+$0.05N=$2.78
$0.04N=$1.80
N=45 ANSWER 1: You will have 45 nickels.
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P=98-N=98-45=53 ANSWER 2: You will have 53 pennies.
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CHECK:
$0.01P+$0.05N=$2.78
$0.01(53)+$0.05(45)=$2.78
$0.53+$2.25=$2.78
$2.78=$2.78