Question

Which inequality defines the problem below?
You are hosting a family picnic for 42 people and plan to serve sub platters. Estimating that each platter would feed 6 people, how many footlong subs must you buy to ensure each family member will have at least one serving?

Answer 1

Let x = number of sub platters. Each platter serves 6 people, so the total served is 6x. You need at least 42 servings, so the inequality is

6x ≥ 42.

Solving gives x ≥ 7, so you must buy at least 7 platters.