Question

Benjamin owns a food truck sells tacos and burritos. He only has enoughingredients to make 155 tacos or burritos. Write an inequality that could represent thepossible values for the number of tacos sold, t, and the number of burritos sold, b,that would satisfy the constraint.

Answer 1

Let's call x tacos, and y burritos. Since we can only make 155, we can express the following inequality.

$x+y\leq155$

The image below shows the possible solutions of the inequality.

Notice that the solutions are all the points inside the triangle form by the line and both axis. 8

Therefore, the inequality that represents this situation is

$t+b\leq155$