https://file.aiquickdraw.com/mathbot/file/17273044388253m3vu4vm.jpg

Let's break down the problem and solve it.

### 1) Inequality Setup
Alonso brings $21 to the market, buys eggs for $2.50, and wants to buy as many bags of avocados as he can with the rest of his money. Each bag of avocados costs $5. Let $ B $ represent the number of bags of avocados he buys.

The total cost of the eggs and avocados is:
\[
2.50 + 5B
\]
This must be less than or equal to the $21 Alonso has:
\[
2.50 + 5B \leq 21
\]

So, the correct inequality is $ 2.50 + 5B \leq 21 $, which corresponds to option **A**.

### 2) Finding the Largest Number of Avocados
Now, let's solve for $ B $ to find out how many bags Alonso can afford.

From the inequality:
\[
2.50 + 5B \leq 21
\]

First, subtract 2.50 from both sides:
\[
5B \leq 21 - 2.50
\]
\[
5B \leq 18.50
\]

Now, divide both sides by 5:
\[
B \leq \frac{18.50}{5}
\]
\[
B \leq 3.7
\]

Since $ B $ must be a whole number (he can’t buy a fraction of a bag), the largest whole number value for $ B $ is **3**.

Each bag contains 3 avocados, so Alonso can buy a total of:
\[
3 \times 3 = 9 \text{ avocados}
\]

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

Would you like further explanation on any part of this problem?

Here are some related questions to practice:
1. How would the inequality change if Alonso only brought $15 to the market?
2. What if the price of each bag of avocados increased to $6? How many could he buy?
3. How would you set up the inequality if Alonso wanted to buy 4 bags of avocados?
4. If Alonso decided not to buy eggs, how many bags of avocados could he afford?
5. How would the total change if the price of eggs decreased to $1.50?

**Tip**: Always remember to subtract fixed costs (like the price of eggs) before solving for the number of items you can buy.

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.
1) Which inequality describes this scenario?
2) What is the largest number of avocados that Alonso can afford?

Understand how to solve a real-world problem using linear inequalities. Alonso spends $2.50 on eggs and uses his remaining $21 to buy bags of avocados priced at $5 each for 3 avocados per bag. Learn how many avocados he can afford, 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