Alonso brings [tex]$\$21$[/tex] to the market to buy eggs and avocados. He gets eggs that cost [tex]$\[tex]$2.50$[/tex][/tex]. Then, he notices that the store only sells avocados in bags of 3 for [tex]$\$5$[/tex]. He wants to buy as many avocados as he can with his remaining money.

Let [tex]$B$[/tex] represent the number of bags of avocados that Alonso buys.

Which inequality describes this scenario?

A. [tex]2.50 + 5B \leq 21[/tex]
B. [tex]2.50 + 5B \geq 21[/tex]
C. [tex]2.50 + 3B \leq 21[/tex]



Answer :

Let's carefully analyze the given scenario step by step:

1. Initial Money and Expenses:
- Alonso has [tex]$21. - He spends $[/tex]2.50 on eggs.

2. Money Left After Buying Eggs:
- Total money left = [tex]$21 - $[/tex]2.50.

3. Cost of Avocado Bags:
- Each bag of avocados costs [tex]$5. 4. Number of Bags of Avocados: - Let \( B \) represent the number of bags of avocados Alonso wants to buy. 5. Forming the Inequality: - The total cost Alonso can spend on avocados must be less than or equal to the remaining money after buying eggs. - Thus, the cost of eggs plus the cost of \( B \) bags of avocados should be less than or equal to his initial $[/tex]21.

6. Constructing the Inequality:
- The inequality representing the total money spent on eggs and avocado bags can be written as:
[tex]\[ 2.50 + 5B \leq 21 \][/tex]

Therefore, the correct inequality representing this scenario is:
(A) [tex]\( 2.50 + 5B \leq 21 \)[/tex].

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