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 s

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s, the number of sets of spoons Lily could buy for the restaurant to have enough spoons.

Answer 1

To determine the number of sets of spoons, s, that Lily could buy for the restaurant to have enough spoons, you can set up an inequality based on the given information.

Let s represent the number of sets of spoons Lily buys. Each set contains 6 spoons.

The number of spoons needed to reach the minimum requirement of 420 spoons is given by:

Number of spoons needed = 420 - 159

Now, you can write the inequality:

6s ≥ 420 - 159

First, calculate the number of spoons needed:

6s ≥ 420 - 159

6s ≥ 261

Now, divide both sides of the inequality by 6 to isolate s:

s ≥ 261 / 6

s ≥ 43.5

Since you cannot buy a fraction of a set of spoons, round up to the nearest whole number because Lily can't buy a fraction of a spoon set. Therefore, she needs to buy at least 44 sets of spoons to have enough spoons for the restaurant