Kevin and Randy Muise have a jar containing 52 coins, all of which are either quarters or nickels.

Kevin and Randy Muise have a jar containing 52 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $6.20. How many of each type of coin do they have?

Let q be the number of quarters, and n be the number of nickels. We have:

1. n + q = 52
2. 0.05n + 0.25q = 6.20

We can solve this system of equations three ways:

• Substitution Method
• Elimination Method
• Cramers Rule

No matter what method we choose, we get the same answer:

• n = 34
• q = 18