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?

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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