Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

You receive [tex]$3.92 in change. Which denominations will you get back?

A. 3 $[/tex]1 bills, 2 quarters, 5 dimes, 1 nickel, 2 pennies
B. 3 [tex]$1 bills, 4 quarters, 2 pennies
C. 3 $[/tex]1 bills, 3 quarters, 1 dime, 1 nickel, 2 pennies
D. 3 $1 bills, 3 quarters, 1 nickel, 5 pennies

Sagot :

To determine the correct denominations for [tex]$3.92 in change, let's break down the amount step-by-step and see which option fits. First, we start with the largest denomination and work our way down: 1. $[/tex]1 bills:
- [tex]$3.92 contains three $[/tex]1 bills because [tex]$1 x 3 = $[/tex]3.00.
- Amount remaining after giving three [tex]$1 bills: $[/tex]3.92 - [tex]$3.00 = $[/tex]0.92.

2. Quarters:
- Quarters are worth [tex]$0.25 each. - To make $[/tex]0.92 using quarters, we need to see how many whole quarters fit into [tex]$0.92. - $[/tex]0.25 x 4 = [tex]$1.00, so we can't use four quarters because it exceeds $[/tex]0.92.
- [tex]$0.25 x 3 = $[/tex]0.75, which is the maximum we can use without exceeding [tex]$0.92. - Amount remaining after using three quarters: $[/tex]0.92 - [tex]$0.75 = $[/tex]0.17.

3. Dimes and Nickels:
- A dime is worth [tex]$0.10 and a nickel is worth $[/tex]0.05.
- We need to make up the remaining [tex]$0.17. - Using one dime for $[/tex]0.10, amount remaining: [tex]$0.17 - $[/tex]0.10 = [tex]$0.07. - Using one nickel for $[/tex]0.05, amount remaining: [tex]$0.07 - $[/tex]0.05 = [tex]$0.02. 4. Pennies: - Each penny is worth $[/tex]0.01.
- We need 2 pennies to make up the remaining [tex]$0.02. Putting it all together, the breakdown for $[/tex]3.92 in change is:
- 3 [tex]$1 bills - 3 quarters - 1 dime - 1 nickel - 2 pennies This matches option B: - 3 $[/tex]1 bills
- 4 quarters
- 2 pennies

Hence, the correct choice is B.
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.