SOLUTION: jimmy had 5.25 in nickels and quarters if he has 15 more nickels than quarters how many coins of each type did he have solve that

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Question 837066: jimmy had 5.25 in nickels and quarters if he has 15 more nickels than quarters how many coins of each type did he have solve that
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
n nickels
q quarters
n=q%2B15, "fifteen more nickels than quarters";
0.05n%2B0.25q=5.25

Multiply the money count equation by 20.
n%2B5q=105

SYSTEM TO SOLVE:
----------------
n-q=15
----------------
n+5q=105
----------------

Conveniently suited to Elimination Method.
%28n%2B5q%29-%28n-q%29=105-15
6q=90
q=90%2F6=%283%2A3%2A2%2A5%29%2F%282%2A3%29
highlight%28q=15%29
-
n-q=15
n=15%2Bq
n=15%2B15
highlight%28n=30%29