lily needs to order some new supplies for the restaurant where she works. the restaurant needs at least 420…

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

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

Answer

Explanation:

Step1: Define the inequality

The current number of spoons is 159, and each set has 6 spoons. Let ( s ) be the number of sets. The total number of spoons after buying ( s ) sets is ( 159 + 6s ). The restaurant needs at least 420 spoons, so the inequality is ( 159 + 6s \geq 420 ).

Step2: Solve the inequality

Subtract 159 from both sides: ( 6s \geq 420 - 159 ). Calculate ( 420 - 159 = 261 ), so ( 6s \geq 261 ). Divide both sides by 6: ( s \geq \frac{261}{6} = 43.5 ). Since ( s ) represents the number of sets, it must be a whole number, so ( s \geq 44 ).

Answer:

Inequality: ( 159 + 6s \geq 420 )
Solution: ( s \geq 44 )