Question

Katherine owns a food truck that sells tacos and burritos. She only has enough supplies to make 106 tacos or burritos. She sells each taco for $3.50 and each burrito for $6.50. Katherine must sell a minimum of $470 worth of tacos and burritos each day. If 79 tacos were sold, determine all possible values for the number of burritos that Katherine must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answer 1

No possible solutions

Explanation:

She has the option for supplying the total of 106 items. This 106 items can be either tacos or burritos or both with a total of 106 items.

If 79 tacos are sold, then it gives
`79 * 3.50 = 276.5`

She needs to make $470 in total.

She needs to make $(470 - 276.5) = $193.5 more till now.

After selling 79 tacos, she has an option to sell maximum (106 - 79) = 27 burritos.

If she wants to make $193.5, she needs to sell
`(193.5)/(6.5) = 29.7` that is 30 burritos.

As she can sell 27 burritos in maximum, so there is no possible solutions.