Question

Violet needs to order some new supplies for the restaurant where she works. The restaurant needs at least 800 glasses. There are currently 164 glasses. If each set on sale contains 6 glasses, write and solve an inequality which can be used to determine xx, the number of sets of glasses Violet could buy for the restaurant to have enough glasses.

Answer 1

Violet could buy at least 134 sets of glasses for the restaurant to have enough.

Step-by-step explanation:

To determine the number of sets of glasses Violet could buy for the restaurant to have enough glasses, we need to set up an inequality. Let x be the number of sets of glasses. Since each set contains 6 glasses, the total number of glasses that Violet could buy is 6x. The restaurant needs at least 800 glasses, so the inequality is:

6x ≥ 800

To solve this inequality, divide both sides by 6:

x ≥ 800 ÷ 6

x ≥ 133.33

Since x represents the number of sets of glasses, it must be a whole number. Therefore, Violet could buy at least 134 sets of glasses for the restaurant to have enough.