Let's break down the problem step-by-step.
1. Identify the initial amount of money Olivia has:
- Olivia starts with [tex]$23.
2. Determine the number of bagels bought:
- Olivia buys 5 bagels.
3. Determine the cost of each bagel:
- Each bagel costs $[/tex]3.
4. Calculate the total cost of the bagels:
- The total cost is determined by multiplying the number of bagels by the cost per bagel:
[tex]\[
\text{Total cost of bagels} = 5 \times 3 = 15 \text{ dollars}
\][/tex]
5. Subtract the cost of the bagels from the initial amount to find out how much money is left:
- Olivia started with [tex]$23.
- She spent $[/tex]15 on bagels.
- So, the amount of money left:
[tex]\[
\text{Money left} = 23 - 15 = 8 \text{ dollars}
\][/tex]
6. Present the results:
- The amount of money spent on bagels is [tex]$15.
- The amount of money left after buying the bagels is $[/tex]8.
So, the detailed step-by-step solution is:
[tex]\[
\boxed{(15, 8)}
\][/tex]
