High School

Sergei runs a bakery. He needs at least 175 kilograms of flour in total to complete the holiday orders he's received. He currently has 34 kilograms of flour, so he needs to buy more. The flour he prefers comes in bags that each contain 23 kilograms of flour. He wants to buy the smallest number of bags possible to meet his needs.

Let \( F \) represent the number of bags of flour that Sergei buys. Which inequality represents this situation?

A. \( 34 + 23F \leq 175 \)
B. \( 34 + 23F \geq 175 \)
C. \( 23 + 34F \leq 175 \)
D. \( 23 + 34F \geq 175 \)

Answer :

The inequality represented the situation is 34 + 23F ≥ 175. Thus, option (b) is correct.

To represent the situation where Sergei needs at least 175 kilograms of flour, only has 34 kilograms, and wants to buy the smallest number of 23-kilogram bags of flour (represented by F), set up an inequality.

Sergei has 34 kilograms of flour and wants to buy F bags of 23 kilograms each.

So, the total amount of flour he will have is 34 + 23F.

He needs at least 175 kilograms of flour, so the inequality is:

[tex]\[34 + 23F \geq 175\][/tex]

This inequality states that the total amount of flour Sergei has (34 kilograms) plus the additional flour he buys in bags (23F kilograms) must be greater than or equal to 175 kilograms to meet his needs.

Learn more about inequality here:

https://brainly.com/question/35505443

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