What is the smallest number of bills and coins to give back as change for a transaction with a total of $10.51 from a $50 payment?

• A. 1-$20, 1-$10, 1-$5, 4-$1, 1-Quarter, 2-Dimes, 4-Pennies
• B. 1-$50, 1-$20, 2-$5, 4-$1
• C. 2-$20, 5-$1, 2-Quarters
• D. 1-$20, 3-$10

Answer: (A)

To determine the smallest number of bills and coins to give back as change for a transaction totaling $10.51 from a $50 payment, the first step is calculating the change required, which is $50 - $10.51, resulting in $39.49.

The correct answer option provides a combination of denominations that minimizes the total number of items given as change while still accurately summing to the required amount. In this case, it comprises larger bills and coins, such as a $20 bill, a $10 bill, a $5 bill, along with various smaller denominations that together make up the total change of $39.49.

By using a $20 bill, a $10 bill, and a $5 bill, you're effectively covering most of the amount with fewer items. The addition of smaller coins—four $1 bills, one quarter, two dimes, and four pennies—fills in precisely the remaining amount to achieve the correct total.

This approach optimally utilizes larger denominations first to reduce the total count of bills and coins needed, making it practical for handling cash during transactions. Therefore, the choice provided correctly delivers the total amount needed in the fewest pieces possible, aligning with the purpose of efficient cash handling.