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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