Beatrice is planning a birthday party for her sister. Beatrice plans to buy a cake that

Question

costs $45. She also wants to get food catered from her sister's favorite restaurant.
The restaurant charges $13.25 per tray of food.
Beatrice writes the inequality 151 - 13.25t≥ 45 to represent this situation.

solve the inequality and state what the solution represents in this context in short

Answer 1

First, simplify the inequality:

151 - 13.25t ≥ 45
105.75 - 13.25t ≥ 45
-13.25t ≥ -60.75
t ≤ 4.58

The solution, t ≤ 4.58, represents the maximum number of trays of food Beatrice can order from her sister's favorite restaurant without going over her budget of $151.