Problem

tions-inequalities/x2f8bb11595b61c86:compound-inequalities/quiz/x2f8bb1
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Alonso went to the market with \( \$ 55 \) to buy eggs and sugar. He knows he needs a package of 12 eggs that costs \( \$ 2.75 \). After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost \( \$ 11.50 \).
Let \( S \) represent the number of boxes of sugar Alonso buys.
1) Which inequality describes this scenario?
Choose 1 answer:
(A) \( 2.75+S \leq 55 \)
(B) \( 2.75+S \geq 55 \)
(c) \( 2.75+11.50 S \leq 55 \)
(D) \( 2.75+11.50 S \geq 55 \)
2) After getting the eggs, how many boxes of sugar can Alonso afford?
boxes

Answer

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Answer

2) \( S \leq \frac{52.25}{11.50} \)

Steps

Step 1 :1) (C) \( 2.75+11.50 S \leq 55 \)

Step 2 :2) \( S \leq \frac{55-2.75}{11.50} \)

Step 3 :2) \( S \leq \frac{52.25}{11.50} \)

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