High School

Sergei runs a bakery. He needs at least 175 kilograms of flour to complete his holiday orders. He currently has 34 kilograms of flour and needs to buy more. The flour he prefers comes in bags containing 23 kilograms each. He wants to buy the fewest number of bags possible to meet his needs. Let \( F \) represent the number of bags of flour Sergei buys. Which inequality describes this scenario?

A) \( 34 + 23F \geq 175 \)

B) \( 34 \times 23F \geq 175 \)

C) \( 23 + 34F \geq 175 \)

D) \( 23 + 34F \geq 175 \)

Answer :

Final answer:

The correct mathematical inequality representing Sergei's situation in his bakery, where he needs at least 175 kilograms of flour for his orders and each bag of flour contains 23 kilograms, is 34 + 23F ≥ 175.

Explanation:

In Sergei's bakery scenario, he currently has 34 kilograms of flour and each bag he buys will add 23 more kilograms. He needs at least 175 kilograms total. Therefore, we need to create an inequality that states that the flour he currently has, plus the flour he will add by buying more bags, needs to be equal to or greater than 175.

The correct inequality to represent this situation, using F to represent the number of bags of flour Sergei will buy, is: 34 + 23F ≥ 175.

The inequality means that the total flour he has after buying F bags, on top of what he already has, needs to be at least 175 kilograms to meet his needs.

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