Practice Solving Inequality Word Problems

Practice Problem 4

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:
    1. \(2.75+S \leq 55\)
    2. \(2.75+S \geq 55\)
    3. \(2.75+11.50S \leq 55\)
    4. \(2.75+11.50S \geq 55\)

  2. After getting the eggs, how many boxes of sugar can Alonso afford?