Practice Problem 1

Sergei runs a bakery. He needs at least ‍175 kilograms of flour in total to complete the holiday orders he's received. He only has 34 kilograms of flour, so he needs to buy more.

The flour he likes comes in bags that each contain 23 kilograms of flour. He wants to buy the smallest number of bags as possible and get the amount of flour he needs.

Let \(F\) represent the number of bags of flour that Sergei buys.

  1. Which inequality describes this scenario?
    • Choose 1 answer:
    1. \(34+23F \leq 175\)
    2. \(34+23F \geq 175\)
    3. \(23+34F \leq 175\)

    4. \(23+34F \geq 175\)

  2. What is the smallest number of bags that Sergei can buy to get the amount of flour he needs?

Source: Khan Academy, https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:multistep-inequalities/e/inequalities-solve-problems
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