Answer :

Let's solve the problem step-by-step.

Olivia has [tex]$23 and decides to buy 5 bagels. Each bagel costs $[/tex]3.

1. First, we need to determine how much money Olivia spends on the bagels:
- She buys 5 bagels.
- Each bagel costs [tex]$3. So, we multiply the number of bagels by the cost of each bagel: \[ 5 \times 3 = 15 \] This means Olivia spends $[/tex]15 on the bagels.

2. Next, we need to calculate how much money Olivia has left after buying the bagels:
- Olivia started with [tex]$23. - She spent $[/tex]15 on the bagels.

So, we subtract the amount spent from the initial amount:
[tex]\[ 23 - 15 = 8 \][/tex]

Thus, Olivia has [tex]$8 left after buying the bagels. In summary: 1. The amount of money spent on the bagels is $[/tex]15.
2. The amount of money left after the purchase is $8.

Therefore, the two needed values are:
[tex]\[ x = 15 \][/tex]
[tex]\[ \square = 8 \][/tex]