Kevin and Randy Muise have a jar containing 53 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $10.25. How many of each type of coin do they have?

The jar contains ____ quarters.
The jar contains ____ nickels.

Question

Kevin and Randy Muise have a jar containing 53 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $10.25. How many of each type of coin do they have?

The jar contains ____ quarters.
The jar contains ____ nickels.

pfenn1 · Answer

If x is the number of quarters in the jar, then the number of nickels are given by 53-x. We also know .25x + 0.05 (53-x) = 10.25 Solve for x.