SOLUTION: Will has 40 coins( nickels, dimes, and quarters) worth $4.05. He has more nickels than dimes. How many quarters does he have?

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Question 259620: Will has 40 coins( nickels, dimes, and quarters) worth $4.05. He has more nickels than dimes. How many quarters does he have?
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!

system%285n+%2B+10d+%2B+25q+=+405%2C%0D%0An%2B+d+%2B+q+=+40%29

Solving for n and d in terms of q:

system%28n=3q-1%2Cd=41-4q%29

Since 
n%3Ed
3q-1%3E41-4q
7q%3E42
q%3E6

d%3E1
41-4q%3E1
4q%3C40
q%3C10

So from the above, we can calculate 4 cases:

7 quarters, 20 nicklea, and 13 dimes.
8 quarters, 23 nicklea, and 9 dimes.
9 quarters, 26 nicklea, and 5 dimes.
10 quarters, 29 nicklea, and 1 dimes.

Edwin