SOLUTION: The number of quarters that Tina has is 3 times the number of nickels. She has $5.60 in all. How many coins of each type does she have?

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Question 958582: The number of quarters that Tina has is 3 times the number of nickels. She has $5.60 in all. How many coins of each type does she have?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
N=nickels; Q=quarters=3N
$0.05N+$0.25Q=$5.60 Substitute for Q.
$0.05N+$0.25(3N)=$5.60
$0.05N+$0.75N=$5.60
$0.80N=$5.60 Divide each side by $0.80.
N=7 ANSWER 1: There are 7 nickels
Q=3N=3(7)=21 ANSWER 2: There are 21 quarters.
CHECK:
$0.05N+$0.25Q=$5.60
$0.05(7)+$0.25(21)=$5.60
$0.35+$5.25=$5.60
$5.60=$5.60