SOLUTION: Jon has quarters, dimes, and nickels in his pocket. The value of his money is $1.75. There are two more dimes than quarters and twice as many nickels as dimes. How many nickels doe

Algebra ->  Finance -> SOLUTION: Jon has quarters, dimes, and nickels in his pocket. The value of his money is $1.75. There are two more dimes than quarters and twice as many nickels as dimes. How many nickels doe      Log On


   

Question 1109647: Jon has quarters, dimes, and nickels in his pocket. The value of his money is $1.75. There are two more dimes than quarters and twice as many nickels as dimes. How many nickels does he have?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
25q%2B10d%2B5n=175
5q%2B2d%2Bn=35

-

system%28d-q=2%2Cn%2Fd=2%29
-q=2-d
q=d-2
-
n=2d


-

Single equation in variable d,
highlight_green%285%28d-2%29%2B2d%2B%282d%29=35%29
Simplify and solve this and then use for evaluating n and q.