https://file.aiquickdraw.com/mathbot/file/1726540714850wm1gddbp.jpg

The problem provided states:

- Charlie can only contribute $2.40.
- Alvin will cover the remaining 40% of the pizza cost.
- Bernie will pay his fair share.

Let’s denote the total cost of the pizza as $ x $.

According to the information given:
- Charlie contributes $2.40.
- Alvin contributes 40% of the total cost, or $ 0.40x $.
- Therefore, Bernie must cover the remaining cost, which would be $ x - (2.40 + 0.40x) $.

Since Bernie is paying his fair share, which implies his portion is the remaining cost, we can set up the equation:

\[
x = 2.40 + 0.40x + \left( x - (2.40 + 0.40x) \right)
\]

Simplifying this equation will give us the total cost of the pizza. Let's calculate it.It seems there was an issue with the setup of the equation. Let's reconsider the problem and approach.

We know:
1. Charlie contributes $2.40.
2. Alvin covers 40% of the pizza cost, or $ 0.40x $.
3. Bernie pays the rest of the cost after accounting for Charlie's and Alvin's contributions.

This means the total contribution of Alvin, Bernie, and Charlie should equal the total cost of the pizza, $ x $. Thus, the correct equation should be:

\[
x = 2.40 + 0.40x + \text{Bernie's share}
\]

Since Bernie's share is the remainder after Charlie and Alvin pay, we can represent it as $ (x - (2.40 + 0.40x)) $.

Let’s fix and recalculate this equation now.It seems like I can’t do more advanced data analysis right now. Please try again later. However, you can easily solve this equation by hand:

You can set up the equation:

\[
x = 2.40 + 0.40x
\]

Then, solve for $ x $:

1. Subtract $ 0.40x $ from both sides:
   \[
   0.60x = 2.40
   \]

2. Divide by 0.60:
   \[
   x = \frac{2.40}{0.60} = 4
   \]

So, the total cost of the pizza is $4.00.

Let me know if you'd like more details or have any further questions.

Here are 5 related questions you might find interesting:
1. What if Charlie had contributed $3.00 instead of $2.40?
2. How would the contributions change if Alvin only covered 30% of the cost?
3. How much would Bernie pay if the pizza cost $5?
4. If the pizza cost $10, how much more would Alvin and Bernie contribute?
5. How does the concept of "fair share" change if more people join in?

**Tip:** To set up equations, always identify the total and divide responsibilities based on percentages or fixed amounts.

Alvin, Bernie, and Charlie are sharing a pizza. Charlie can only chip in $2.40. Alvin will kick in with the remaining 40% of the cost. Bernie will pay his fair share. How much did the pizza cost?

Learn how to calculate the total cost of a pizza when one person contributes a fixed amount and another covers 40% of the total cost. Using algebraic equations, solve for the total pizza price. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation