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The problem you uploaded can be broken down as follows:

We have three pieces of information:

1. A customer pays $25 for 2 pizzas delivered.
2. Another customer pays $58 for 5 pizzas delivered.
3. We need to determine how many pizzas a customer receives if they pay $80.

### Step 1: Set up equations for both customers.

Let $ p $ be the cost per pizza, and $ d $ be the delivery fee. For each situation:

- For the first customer:  
  \[
  2p + d = 25
  \]
  
- For the second customer:
  \[
  5p + d = 58
  \]

### Step 2: Solve for $ p $ and $ d $.

#### Subtract the first equation from the second:
\[
(5p + d) - (2p + d) = 58 - 25
\]
\[
3p = 33
\]
\[
p = 11
\]

Now substitute $ p = 11 $ into the first equation:
\[
2(11) + d = 25
\]
\[
22 + d = 25
\]
\[
d = 3
\]

### Step 3: Calculate for the $80 payment.

Now that we know the cost per pizza is $11 and the delivery fee is $3, set up the equation for a customer who pays $80:
\[
xp + d = 80
\]
Substitute $ p = 11 $ and $ d = 3 $:
\[
11x + 3 = 80
\]
\[
11x = 77
\]
\[
x = 7
\]

### Answer:
The customer who pays $80 gets 7 pizzas.

---

Do you want more details on any part of this solution or have any questions?

Here are some related questions for further practice:

1. If a customer paid $100, how many pizzas would they get?
2. What would the total cost be for 8 pizzas delivered?
3. If the delivery fee were increased to $5, how would that affect the number of pizzas a customer gets for $80?
4. How much would 3 pizzas cost without the delivery fee?
5. How would the equations change if the price per pizza were different for different customers?

**Tip:** When you have two variables, solving systems of equations is a great strategy!

A restaurant offers delivery for their pizzas and includes the delivery fee in the total price of the pizzas. One customer pays $25 to have 2 pizzas delivered. Another customer pays $58 for 5 pizzas. How many pizzas are delivered to a customer who pays $80? (Hint: How much extra money did the 3 extra pizzas cost? What is the cost per pizza? What is the delivery fee?)

Learn how to solve a real-world algebra problem involving the cost of pizza deliveries. This step-by-step solution explains how to find the cost per pizza and the delivery fee using systems of linear equations. Ideal for students in Grades 8-10.

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