Jordan needs to order some new supplies for the restaurant where he works. The restaurant needs at least 730 knives. There are currently 204 knives. If each set on sale contains 10 knives, write and solve an inequality which can be used to determine xx, the number of sets of knives Jordan could buy for the restaurant to have enough knives.
Let xx represent the number of sets of knives that Jordan could buy.
Since each set contains 10 knives, the total number of knives in xx sets would be 10 * xx.
To have enough knives, the restaurant needs at least 730 knives, so we can write the inequality as:
10 * xx + 204 ≥ 730
Simplifying the inequality, we can subtract 204 from both sides:
10 * xx ≥ 526
Now, we divide both sides of the inequality by 10:
xx ≥ 52.6
Since the number of sets of knives cannot be a decimal, the smallest integer greater than or equal to 52.6 is 53.
Jordan could buy at least 53 sets of knives to ensure that the restaurant has enough knives.