How many times can you fit a nickel, dime and quarter in 50 cents?

One quarter, one dime and three nickels make up 50 cents, as do one quarter, two dimes and one nickel, as well as two quarters. Other 50 cent combinations include five dimes and 10 nickels.

Quarters are worth 25 cents, while dimes are worth 10 cents and nickels are woth 5 cents. The mathematical formula for the cents value of a combination of quarters, dimes and nickels is 25*Q + 10*D + 5*N, where Q, D and N are the numbers of quarters, dimes and nickels. To find other 50 cent combinations of coins, set the formula equal to 50 and find values of Q, D and N that satisfy the resulting equation.