SOLUTION: 24 coins. a combination of nickels, dimes, and quaters. twice as many nickels as quarters and 3 times as many dimes as quaters. how many coins of each type does he have. what i

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Question 351447: 24 coins. a combination of nickels, dimes, and quaters. twice as many nickels as quarters and 3 times as many dimes as quaters. how many coins of each type does he have. what is the total value of the coins?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
N%2BD%2BQ=24
.
.
.
N=2Q
D=3Q
Substitute into the first equation,
2Q%2B3Q%2BQ=24
6Q=24
highlight%28Q=4%29
Then,
N=2%284%29
highlight%28N=8%29
and,
D=3%284%29
highlight%28D=12%29
Eight nickels, twelve dimes, and eight quarters.