SOLUTION: I have 28 silver colored coins that amount to $2.80 in my pocket. Three times the number of nickels plus the number of quarters is the same as the number of dimes. How many of each

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Question 1020279: I have 28 silver colored coins that amount to $2.80 in my pocket. Three times the number of nickels plus the number of quarters is the same as the number of dimes. How many of each type of coin do I have in my pocket?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.N%2BD%2BQ=28
2.3N%2BQ=D
3.5N%2B10D%2B25Q=280
Use eq. 2 to substitute for D in 1 and 3.
N%2B3N%2BQ%2BQ=28
4N%2B2Q=28
4.2N%2BQ=14
.
.
5N%2B10%283N%2BQ%29%2B25Q=280
5N%2B30N%2B10Q%2B25Q=280
35N%2B35Q=280
5.N%2BQ=8
Now subtract 5 from 4 to eliminate Q.
2N%2BQ-N-Q=14-8
N=6
Then,
2%286%29%2BQ=14
12%2BQ=14
Q=2
and
3%286%29%2B2=D
D=20