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Shiro bought an apple juice and a bag of pretzels for $4.55. If he paid the cashier with a $5 bill, in how many different ways can he receive his change if the cashier only gives him quarters, dimes, and nickels?

User Rida
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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.

User BWStearns
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