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.
