A food truck sells tacos and burritos. The owner wants to make at least 50 total items per shift. A taco takes 2 minutes to prepare, and a burrito takes 3 minutes. The owner has a maximum of 180 minutes for preparation time each shift.

If t represents the number of tacos, and b represents the number of burritos, which system of inequalities can be used to find the possible number of tacos and burritos that can be prepared in one shift?

t + b > 50
2t + 3b < 180 t + b ≥ 50 3t + 2b ≤ 180 t + b ≤ 50 2t + 3b < 180 t + b ≥ 50 2t + 3b ≤ 180

Question

A food truck sells tacos and burritos. The owner wants to make at least 50 total items per shift. A taco takes 2 minutes to prepare, and a burrito takes 3 minutes. The owner has a maximum of 180 minutes for preparation time each shift.

If t represents the number of tacos, and b represents the number of burritos, which system of inequalities can be used to find the possible number of tacos and burritos that can be prepared in one shift?

t + b > 50
2t + 3b < 180 t + b ≥ 50 3t + 2b ≤ 180 t + b ≤ 50 2t + 3b < 180 t + b ≥ 50 2t + 3b ≤ 180

Quizzma Team · Answer

The correct system of inequalities is: t + b ≥ 50 2t + 3b ≤ 180 Explanation: 1. t + b ≥ 50 : This inequality ensures that the total number of tacos and burritos is at least 50. 2. 2t + 3b ≤ 180 : This inequality represents the time constraint, stating that the total preparation time for tacos (2 minutes each) and burritos (3 minutes each) cannot exceed 180 minutes. These inequalities capture the requirements outlined in the problem. If you need further assistance or clarification, feel free to ask!

1 Answer