### Detailed Step-by-Step Solution
Let's begin by understanding the problem:
You start with an initial amount of money and buy a certain number of bagels, each at a given cost. The goal is to determine how much money is spent on the bagels and how much money is left after the purchase.
Given:
- Initial amount of money: [tex]\( \$23 \)[/tex]
- Number of bagels bought: [tex]\( 5 \)[/tex]
- Cost per bagel: [tex]\( \$3 \)[/tex]
#### Step 1: Calculate the Total Money Spent on Bagels
To find out how much money is spent on the bagels, multiply the number of bagels by the cost per bagel.
[tex]\[ \text{Money Spent} = \text{Number of Bagels} \times \text{Cost per Bagel} \][/tex]
Substitute the given values into the formula:
[tex]\[ \text{Money Spent} = 5 \text{ bagels} \times \$3 \text{ per bagel} \][/tex]
[tex]\[ \text{Money Spent} = \$15 \][/tex]
So, the total money spent on bagels is \[tex]$15.
#### Step 2: Calculate the Remaining Money
Now, we need to figure out how much money is left after buying the bagels. Subtract the total money spent from the initial amount of money.
\[ \text{Money Left} = \text{Initial Money} - \text{Money Spent} \]
Substitute the given values into the formula:
\[ \text{Money Left} = \$[/tex]23 - \[tex]$15 \]
\[ \text{Money Left} = \$[/tex]8 \]
So, the amount of money left after buying the bagels is \[tex]$8.
### Conclusion
- The total money spent on bagels is \$[/tex]15.
- The amount of money left after the purchase is \$8.
These are the final results of the calculations.
