SOLUTION: Olivia has $3.30 in her bank in nickels, dimes, and quarters. If there are thre times as many nickels as quarters, and one-half as many dimes as nickels, how many coins of each kin

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Question 1093496: Olivia has $3.30 in her bank in nickels, dimes, and quarters. If there are thre times as many nickels as quarters, and one-half as many dimes as nickels, how many coins of each kind are there?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
system%28n%2Fq=3%2Cd%2Fn=1%2F2%2C5n%2B10d%2B25q=330%29

First two equations as formulas in terms of n and simplify the cents equation:
system%28q=n%2F3%2Cd=n%2F2%2Cn%2B2d%2B5q=66%29

Substitute into cents equation for d and q:
n%2B2%28n%2F2%29%2B5%28n%2F3%29=66
.
.
highlight_green%28n=18%29------and with this you can find the others.