https://file.aiquickdraw.com/mathbot/file/1728061204984pjmig5ar.jpg

It looks like you have provided a math problem involving a budget constraint for hamburgers and tacos. Let's break down the problem:

### Problem Summary:
- **Billy has $35** to spend on hamburgers and tacos.
- **Hamburgers cost $5.50 each**.
- **Tacos cost $4 each**.
- We need to:
  1. **Write an inequality** to describe the situation.
  2. **Provide two possible combinations** of hamburgers and tacos that meet the inequality.

### Step 1: Formulate the Inequality

Let:
- $ h $ be the number of hamburgers.
- $ t $ be the number of tacos.

The total cost for hamburgers is $ 5.5h $, and the total cost for tacos is $ 4t $. Together, Billy has at most $35 to spend, so the inequality is:

\[
5.5h + 4t \leq 35
\]

This inequality represents the fact that the combined cost of hamburgers and tacos should be less than or equal to $35.

### Step 2: Find Possible Combinations

Now, we can check the combinations of hamburgers and tacos that fit within the inequality:

- **Option A: 2 hamburgers, 4 tacos**
  \[
  5.5(2) + 4(4) = 11 + 16 = 27 \leq 35
  \]
  This combination works.

- **Option B: 0 hamburgers, 7 tacos**
  \[
  5.5(0) + 4(7) = 0 + 28 = 28 \leq 35
  \]
  This combination works.

So, the two valid combinations are:
1. 2 hamburgers and 4 tacos.
2. 0 hamburgers and 7 tacos.

---

Would you like a detailed explanation of how to test more combinations? Here are some related questions:

1. What would happen if Billy wanted to buy more than 4 tacos?
2. How many hamburgers can Billy buy if he wants no tacos?
3. Can Billy buy 4 hamburgers and 2 tacos?
4. What is the maximum number of tacos Billy can buy if he buys only 1 hamburger?
5. How would the inequality change if hamburgers had a discount?

**Tip:** Always substitute values back into the inequality to verify if they satisfy the condition!

Billy has $35 to spend on hamburgers and tacos at the restaurant. Hamburgers cost $5.50 each and tacos cost $4 each. Write an inequality to describe the situation, then give two possible combinations of hamburgers and tacos.

Learn how to solve a budget constraint problem where Billy has $35 to spend on hamburgers and tacos. Understand how to write and solve the inequality 5.5h + 4t ≤ 35, along with two possible combinations of hamburgers and tacos. 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