Question

david owns a food truck that sells tacos and burritos. he only has enough ingredients to make 87 tacos or burritos. write an inequality that could represent the possible values for the number of tacos sold, t, and the number of burritos sold, b, that would satisfy the constraint.

Explanation:

Step1: Understand the constraint

The total number of tacos (\(t\)) and burritos (\(b\)) David can make is at most 87, since he has enough ingredients for 87 total (either tacos or burritos, or a combination).

Step2: Form the inequality

The sum of the number of tacos and burritos sold should be less than or equal to 87. So the inequality is \(t + b \leq 87\), where \(t\) and \(b\) are non - negative integers (since you can't sell a negative number of tacos or burritos).

Answer:

\(t + b \leq 87\) (where \(t\geq0\), \(b\geq0\) and \(t,b\in\mathbb{Z}\))