SOLUTION: Sam has $1.55 in nickels dimes and quarters. He has 23 coins in all. How many coins of each kind does he have?

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Question 987745: Sam has $1.55 in nickels dimes and quarters. He has 23 coins in all. How many coins of each kind does he have?

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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N=number of nickels; Q=number of quarters
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N+Q=23
Q=23-N
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$0.05N+$0.25Q=$1.55
$0.05N+$0.25(23-N)=$1.55
$0.05N+$5.75-$0.25N=$1.55
-$0.20N=-$4.20
N=21
ANSWER 1: There are 21 nickels.
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Q=23-N=23-21=2
ANSWER 2: There are 2 quarters.
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CHECK:
$0.05N+$0.25Q=$1.55
$0.05(21)+$0.25(2)=$1.55
$1.05+$0.50=$1.55
$1.55=$1.55