Math
posted by Frank
A city park employee collected 600 cents in nickels, dimes, and quarters at the bottom of the wishing well. There were 10 nickels, and a combined total of 25 dimes and quarters. How many dimes and quarters were at the bottom of the well?

MathMate
For information to nonNorth American readers, the following coins are worth:
dime = 10 cents
nickel = 5 cents
quarter = 25 cents.
600 cents = 10 nickels and 25 dimes and quarters.
Let D=number of dimes
10(5)+10(D)+25(25D)=600
Isolate D:
15D=60062550=75
=>
D=75/(15)=5
So number of dimes = 5
number of quarters = 255=20
number of nickels = 10 (given)
Check:
5(10)+20(25)+10(5)
=50+500+50
=600 ✓
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