Sure, let's break down the steps to solve the given problem in a detailed manner:
### Problem Statement:
Olivia has [tex]$23. She bought five bagels for $[/tex]3 each. How much money does she have left?
### Solution:
1. Initial Amount of Money:
- Olivia starts with [tex]$23.
2. Details of Purchase:
- Olivia bought 5 bagels.
- Each bagel costs $[/tex]3.
3. Calculate Total Cost of Bagels:
- To find out how much Olivia spent in total, multiply the number of bagels by the cost per bagel:
[tex]\[
\text{Total cost of bagels} = \text{Number of bagels} \times \text{Cost per bagel}
\][/tex]
Plugging in the numbers:
[tex]\[
\text{Total cost of bagels} = 5 \times 3 = 15
\][/tex]
4. Calculate Remaining Money:
- Subtract the total cost of the bagels from the initial amount of money Olivia had:
[tex]\[
\text{Money left} = \text{Initial amount} - \text{Total cost of bagels}
\][/tex]
Plugging in the numbers:
[tex]\[
\text{Money left} = 23 - 15 = 8
\][/tex]
### Conclusion:
Olivia spent [tex]$15 on bagels and has $[/tex]8 left.
So, the step-by-step numerical results are:
- Money spent on bagels: [tex]$15
- Money left: $[/tex]8
