Eli needs to order some new supplies for the restaurant where he works. The restaurant needs at least 546 knives. There are currently 312 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 Eli could buy for the restaurant to have enough knives.

Question

Eli needs to order some new supplies for the restaurant where he works. The restaurant needs at least 546 knives. There are currently 312 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 Eli could buy for the restaurant to have enough knives.

Answer 1

Let x be the number of sets of knives Eli could buy.

The total number of knives Eli would have if he buys x sets is 312 + 10x.
We want this number to be at least 546, so we can write the inequality:

312 + 10x ≥ 546

Subtracting 312 from both sides, we get:

10x ≥ 234

Dividing both sides by 10, we get:

x ≥ 23.4

Since the number of sets of knives must be a whole number, Eli can buy at least 24 sets of knives.