# Problem of the Week Problem C Counting Coins

Inaaya has a jar of coins containing only nickels, dimes, and quarters. A nickel is worth $$5$$ cents, a dime is worth $$10$$ cents, a quarter is worth $$25$$ cents, and a dollar is worth $$100$$ cents.

The ratio of the number of quarters to the number of dimes to the number of nickels in the jar is $$9:3:1$$. The total value of all the coins in the jar is $$\18.20$$. How many coins does Inaaya have in her jar?

Themes: Algebra, Number Sense