SOLUTION: Kelly has a collection of nickels, dimes and quarters with a total value of $9.60. There are 5 more dimes than nickels and 2 times more quarters than nickels, how many of each coin

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Question 948767: Kelly has a collection of nickels, dimes and quarters with a total value of $9.60. There are 5 more dimes than nickels and 2 times more quarters than nickels, how many of each coin does she have?
I'd like help to solve this word problem with the actual steps of the problem please. I would appreciate the help very much!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
N-nickels
D-dimes
Q-quarters
.
.
.
Total value of coins
5N%2B10D%2B25Q=960
.
.
"5 more dimes than nickels"
D=N%2B5
"2 times more quarters than nickels"
Q=2N
Substitute these two into the first equation.
5N%2B10%28N%2B5%29%2B25%282N%29=960
5N%2B10N%2B50%2B50N=960
65N%2B50=960
65N=910
N=14%7D%7D%0D%0ASo+then%2C%0D%0A%7B%7B%7BD=14%2B5
D=19
and
Q=2%2814%29
Q=28