Question

3) Michael is getting dinner for his drama club on the evening of their final rehearsal.

The budget for dinner is $60
Michael plans to buy some prepared dishes from a supermarket. The prepared dishes are sold
by the pound, at $5.50 a pound
He also plans to buy two large bottles of sparkling water at $2.50 each
a) Write an inequality that represents the situation. (let p = weight of prepared dishes in pounds) 2
points
b) How many pounds of prepared dishes can Michael buy? Explain or show your reasoning, 3 points

Answer 1

5.5p + 5 ≤ 60

10 pounds

Explanation:

a) The maximum total cost he can spend is $60.

5.5 * p + 2 * 2.5 ≤ 60

Simplify.

5.5p + 5 ≤ 60

b) Solve 5.5p + 5 ≤ 60

Subtract 5 from both sides

5.5p ≤ 55

Divide both sides by 5.5

p ≤ 10

So, the maximum he can buy is 10 pounds of food