Question

Kevin and Randy Muise have a jar containing 68 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $8.00. How many of each

type of coin do they have?
The jar contains
quarters

Answer 1

9514 1404 393

Answer:

• 23 quarters
• 45 nickels

Explanation:

Let q represent the number of quarters. Then the number of nickels is 68-q, and the number of cents in the jar is ...

25q +5(68 -q) = 800

20q +340 = 800 . . . . simplify

20q = 460 . . . . . . . . subtract 340

q = 23 . . . . . . . . . . . divide by 20; this is the number of quarters

68-q = 45 . . . . . . . find the number of nickels

The jar contains 23 quarters and 45 nickels.