SOLUTION: a coin-sorting machine contains nickels, dimes and quarters worth $5.50. there are 3 times as many nickels as dimes, and 2 more quarters than dimes. how many of each type of coin

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Question 374521: a coin-sorting machine contains nickels, dimes and quarters worth $5.50. there are 3 times as many nickels as dimes, and 2 more quarters than dimes. how many of each type of coin are there?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
N=3D
Q=D+2
.05N+.10D+.25Q=5.50
.05(3D)+.10D+.25(D+2)=5.50
.15D+.10D+.25D+.50=5.50
.50D=5.50-.50
.50D=5
D=5/.50
D=10 DIMES.
N=3*10=30 NICKELS.
10+2=12 QUARTERS.
PROOF:
.05*30+.10*10+.25*12=5.50
1.50+1.00+3.00=5.50
5.50=5.50