Question

Nevaeh owns a food truck that sells tacos and burritos. She only has enough supplies to make 96 tacos or burritos. She sells each taco for $3.75 and each burrito for $8.75. Nevaeh must sell no less than $600 worth of tacos and burritos each day. If 51 burritos were sold, determine the minimum number of tacos that the Nevaeh must sell in order to meet the requirements.
Answer
Attempt 1 out of 2

Additional Solution
No Solution

Answer 1

Let t = number of tacos. With 51 burritos, revenue is 3.75t + 8.75(51) and tacos + burritos ≤ 96 so t ≤ 45.

Compute 8.75·51 = 446.25. Require
3.75t + 446.25 ≥ 600 → 3.75t ≥ 153.75 → t ≥ 153.75/3.75 = 41.

Thus Nevaeh must sell at least 41 tacos (which is ≤45, so feasible).