Peyton needs to order some new supplies for the restaurant where she works. The restaurant needs at least 732 forks. There are currently 287 forks. If each set on sale contains 10 forks, write and solve an inequality which can be used to determine xx, the number of sets of forks Peyton could buy for the restaurant to have enough forks.

Question

Peyton needs to order some new supplies for the restaurant where she works. The restaurant needs at least 732 forks. There are currently 287 forks. If each set on sale contains 10 forks, write and solve an inequality which can be used to determine xx, the number of sets of forks Peyton could buy for the restaurant to have enough forks.

Answer 1

Let x be the number of sets of forks Peyton could buy.

The total number of forks she would have if she bought x sets is 287 + 10x.

We want to find x such that 287 + 10x is greater than or equal to 732.

Therefore, the inequality is: 287 + 10x ≥ 732.

To solve for x, we subtract 287 from both sides:
10x ≥ 445.

Finally, we divide by 10 to isolate x:
x ≥ 44.5.

Since x represents the number of sets of forks, and we cannot have a fraction of a set, Peyton needs to buy at least 45 sets of forks to ensure the restaurant has enough forks.