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 x, the number of sets of glasses Violet could buy for the restaurant to have enough glasses.
Let x be the number of sets of glasses Violet could buy.
The total number of glasses in x sets is 6x.
To have enough glasses, we need to have at least 800 glasses.
So, the inequality is 6x + 164 ≥ 800.
Subtracting 164 from both sides, we have 6x ≥ 636.
Dividing both sides by 6, we get x ≥ 106.
Therefore, Violet could buy at least 106 sets of glasses. Answer: \boxed{106}.
Let x be the number of sets of glasses Violet could buy. Each set contains 6 glasses.
The total number of glasses needed is at least 800.
So the inequality can be written as:
164 + 6x ≥ 800
To solve the inequality for x, we can isolate x by subtracting 164 from both sides:
6x ≥ 800 - 164
6x ≥ 636
Finally, divide both sides by 6 to solve for x:
x ≥ 636 / 6
x ≥ 106
Therefore, Violet needs to buy at least 106 sets of glasses to have enough for the restaurant.
To solve this problem, we need to determine how many sets of glasses Violet needs to buy in order to have at least 800 glasses in total.
Let x be the number of sets of glasses Violet could buy.
Since each set on sale contains 6 glasses, the number of glasses Violet will have after buying x sets is 6x.
The total number of glasses needed is 800.
To form an inequality, we can say that the number of glasses Violet has after buying x sets must be greater than or equal to 800.
Therefore, the inequality becomes:
6x + 164 ≥ 800.
To solve this inequality for x, we can subtract 164 from both sides:
6x ≥ 800 - 164.
Simplifying, we have:
6x ≥ 636.
Finally, we divide both sides by 6 to solve for x:
x ≥ 636 / 6.
This simplifies to:
x ≥ 106.
Therefore, Violet needs to buy at least 106 sets of glasses to have enough for the restaurant.