Problem

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?
Choose 1 answer:
(A) $2.50+5 B \leq 21$
(B) $2.50+5 B \geq 21$
(c) $2.50+3 B \leq 21$
(D) $2.50+3 B \geq 21$
2) What is the largest number of avocados that Alonso can afford?

Answer

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Answer

\(\boxed{\text{The largest number of avocados that Alonso can afford is 9.}}\)

Steps

Step 1 :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.

Step 2 :Let \(B\) represent the number of bags of avocados that Alonso buys.

Step 3 :The inequality that describes this scenario is \(2.50+5 B \leq 21\). This is because Alonso's total spending on eggs and avocados should not exceed his total money, which is $21.

Step 4 :First, we need to calculate how much money Alonso has left after buying the eggs. \(21 - 2.5 = 18.5\). So, Alonso has $18.5 left.

Step 5 :Then, we need to calculate how many bags of avocados he can buy with the remaining money. Since each bag costs $5, Alonso can buy \(\frac{18.5}{5} = 3.7\) bags. But since he can't buy a fraction of a bag, he can only buy 3 bags.

Step 6 :Since each bag contains 3 avocados, we multiply the number of bags by 3 to get the total number of avocados. \(3 \times 3 = 9\).

Step 7 :\(\boxed{\text{The largest number of avocados that Alonso can afford is 9.}}\)

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