SOLUTION: Will has a bunch of nickles, dimes and quarters. He has twice as many times as Nickels. He also has two less quarters than dimes. If the total amount of money that he has his equal

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Question 829076: Will has a bunch of nickles, dimes and quarters. He has twice as many times as Nickels. He also has two less quarters than dimes. If the total amount of money that he has his equal to $3.25 how many Nichols dimes and quarters does Will have.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let N,D,Q be the number of each coin he has.
1.D=2%2AN
2.Q=D-2
3.0.05%2AN%2B0.10%2AD%2B0.25%2AQ=3.25
Substitute 1 and 2 into 3,
0.05%2AN%2B0.10%2A2%2AN%2B0.25%2A%28D-2%29=3.25
0.05%2AN%2B0.2%2AN%2B0.25%2A%282%2AN-2%29=3.25
Multiply both sides by 100,
5N%2B20N%2B25%282N-2%29=325
5N%2B20N%2B50N-50=325
75N=375
N=5
Then from eq. 1,
D=2%2A5
D=10
Then from eq. 2,
Q=D-2
Q=8
He has 5 nickels, 10 dimes, and 8 quarters.