Final answer:
The change of 45 cents can be given in five different ways using combinations of quarters, dimes, and nickels.
Step-by-step explanation:
The student's question involves a mathematical scenario where he or she is asked to determine the number of ways to receive change using only quarters, dimes, and nickels. Given that Shiro paid with a $5 bill for items totaling $4.55, the amount of change to be returned is $0.45, or 45 cents.
- Using quarters (25 cents): Shiro could receive one quarter and two dimes, one quarter and four nickels, or one quarter, one dime, and one nickel.
- Using dimes (10 cents): Shiro could receive four dimes and one nickel, or three dimes and three nickels.
- Using nickels (5 cents): The only possibility with just nickels is nine nickels.
Counting up each of the possibilities, Shiro can receive his change in five different ways using quarters, dimes, and nickels.