https://file.aiquickdraw.com/mathbot/file/17267053190342hzq0otn.jpg

Let's break down the problem in the image to find the correct inequality and the largest number of avocados Alonso can afford.

### Step 1: Understanding the Problem
- **Alonso brings $21** to the market.
- He buys eggs that cost **$2.50**.
- The store sells avocados in bags of 3 for **$5** per bag.
- Let **B** represent the number of bags of avocados Alonso buys.
- Alonso spends his remaining money after buying eggs to buy as many avocados as possible.

### Step 2: Creating the Inequality
After buying eggs, Alonso has remaining money of $ 21 - 2.50 = 18.50 $. He can spend this money on bags of avocados.

Each bag of avocados costs $5, so the total cost for **B** bags would be $ 5B $.

The inequality that represents this situation is:
\[
2.50 + 5B \leq 21
\]

Thus, the inequality that describes the scenario is **Option A: $ 2.50 + 5B \leq 21 $**.

### Step 3: Solving for the Number of Bags Alonso Can Buy
Now, let's solve the inequality $ 2.50 + 5B \leq 21 $.

1. Subtract 2.50 from both sides:
   \[
   5B \leq 18.50
   \]

2. Divide both sides by 5:
   \[
   B \leq \frac{18.50}{5} = 3.7
   \]

Since **B** represents the number of bags, Alonso can afford **3 full bags** of avocados.

### Step 4: Finding the Number of Avocados
Each bag contains 3 avocados. Therefore, if Alonso buys 3 bags, the total number of avocados he can afford is:
\[
3 \times 3 = 9 \text{ avocados}
\]

### Final Answers:
1. The correct inequality is **Option A: $ 2.50 + 5B \leq 21 $**.
2. The largest number of avocados Alonso can afford is **9 avocados**.

Would you like further details or explanations on any part of this solution?

Here are 5 related questions you might want to explore:
1. How would the inequality change if Alonso had $30 instead of $21?
2. What if the price of each bag of avocados was reduced to $4? How many bags could Alonso afford then?
3. If Alonso decided to buy 4 bags, how much more money would he need?
4. What happens to the number of avocados if each bag contains 4 avocados instead of 3?
5. Can you create a similar problem where Alonso buys another type of fruit, like bananas?

**Tip:** When solving word problems, carefully translate each part of the situation into mathematical expressions to avoid confusion!

Alonso brings $21 to the market to buy eggs and avocados. He gets eggs that cost $2.50. Then, he notices that the store only sells avocados in bags of 3 for $5. He wants to buy as many avocados as he can with his remaining money. Let B represent the number of bags of avocados that Alonso buys. Which inequality describes this scenario? What is the largest number of avocados Alonso can afford?

In this problem, Alonso has $21 to buy eggs and avocados. After purchasing eggs for $2.50, how many bags of avocados can he afford if each bag costs $5? Learn to solve the inequality 2.50 + 5B ≤ 21 to find the largest number of avocados Alonso can buy.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation