SOLUTION: Kelly has a collection of nickels, dimes, and quarters with a total value of $9.70. There are seven more nickels than dimes and twice as many quarters as nickels. How many of each

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Question 1098971: Kelly has a collection of nickels, dimes, and quarters with a total value of $9.70. There are seven more nickels than dimes and twice as many quarters as nickels. How many of each coin is in her collection? (First complete the following table by entering algebraic expressions using x as the number of dimes.)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
5N%2B10D%2B25Q=970
N%2B2D%2B5Q=194
.
.
N=7%2BD
D=N-7
.
.
Q=2N
Substituting,
N%2B2%28N-7%29%2B5%282N%29=194
N%2B2N-14%2B10N=194
13N=208
Solve for N then use the other equations to solve for D and Q.