Zoe owns a food truck that sells tacos and burritos. She only has enough supplies to make 113 tacos or burritos. She sells each taco for $3 and each burrito for $6. Zoe must sell at least $510 worth of tacos and burritos each day. If 53 tacos were sold, determine all possible values for the number of burritos that Zoe 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.

Respuesta :

Answer: {59, 60}

-The values of b that make both inequalities true-

Ver imagen 24hutchinsons

The correct statement is that the number of burritos that Zoe must sell in order to meet the requirements is 57.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

She only has enough supplies to make 113 tacos or burritos.

She sells each taco for $3 and each burrito for $6. Zoe must sell at least $510 worth of tacos and burritos each day.

How do find all possible values for the number of burritos that Zoe must sell in order to meet the requirements?

Let T be the taco and B be the burrito.

She only has enough supplies to make 113 tacos or burritos. Then equation will be

T + B = 113...(1)

She sells each taco for $3 and each burrito for $6. Zoe must sell at least $510 worth of tacos and burritos each day.

3T + 6B = 510...(2)

On solving, equation 1 and 2, we get

T = 56, and B = 57

The number of burritos that Zoe must sell in order to meet the requirements is 57.

More about the linear system link is given below.

https://brainly.com/question/20379472