Question

Lily needs to order some new supplies for the restaurant where she works. The restaurant needs at least 420 spoons. There are currently 159 spoons. If each set on sale contains 6 spoons, write and solve an inequality which can be used to determine ss, the number of sets of spoons Lily could buy for the restaurant to have enough spoons.

Answer 1

Lily should solve the inequality 6s + 159 ≥ 420 to determine the minimum number of spoon sets to buy. After solving, she should buy at least 44 sets to have enough spoons for the restaurant.

Step-by-step explanation:

Lily needs to ensure the restaurant has at least 420 spoons and there are currently 159 spoons. Since each set contains 6 spoons, we can set up an inequality to find out the minimum number of sets (s) she should buy.

The inequality would be:

6s + 159 ≥ 420

To solve for s, subtract 159 from both sides:

6s ≥ 261

Next, divide both sides by 6:

s ≥ 43.5

Since Lily can't buy half a set, she needs to round up. Therefore, Lily should buy at least 44 sets of spoons to have enough for the restaurant.