Question

Using any

combination of quarters, dimes, nickles,
pennies how many way
can you make
50 cents?

Answer 1

49

Explanation:

2 quarters

1 quarter, 2 dimes, 1 nickel

1 quarter, 1 dime, 3 nickels

1 quarter, 5 nickels

5 dimes

4 dimes, 2 nickels

3 dimes, 4 nickels

2 dimes, 6 nickels

1 dime, 8 nickels

10 nickels

10 ways without pennies. Pennies can be substituted for any quarter, dime, or nickel, so ...

8 ways to have 5 pennies

7 ways to have 10 pennies

6 ways to have 15 pennies

5 ways to have 20 pennies

4 ways to have 25 pennies

3 ways to have 30 pennies

2 ways to have 35 pennies

2 ways to have 40 pennies

1 way to have 45 pennies

1 way to have 50 pennies

For an additional 39 ways with pennies.

There are a total of 10 +39 = 49 ways to make change for 50¢.