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Henry owns a food truck that sells tacos and burritos. He only has enough supplies to make 100 tacos or burritos. He sells each taco for $3 and each burrito for $5. Henry must sell no less than $360 worth of tacos and burritos each day. Also, he must sell no less than 20 tacos. If x represents the number of tacos sold and y represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.

Sagot :

Lanuel

A system of linear inequalities to describe this situation are as follows;

x + y ≤ 100

3x + 5y ≥ 360

x ≥ 20

The system of inequalities has been solved graphically and one possible solution is selling 20 tacos and 80 burritos.

How to write and solve the system of inequalities graphically?

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of tacos sold and number of burritos sold respectively, and then translate the word problem into algebraic equation as follows:

  • Let the variable x represent the number of tacos sold.
  • Let the variable y represent the number of burritos sold.

Since Henry only has enough supplies to make 100 tacos or burritos, we have;

x + y ≤ 100

Also, Henry sells each taco for $3 and each burrito for $5 and must sell no less than (at least) $360 worth of tacos and burritos each day

3x + 5y ≥ 360

Lastly, Henry must sell no less than (at least) 20 tacos;

x ≥ 20

In conclusion, you should use a graphing calculator to plot the system of linear inequalities as shown in the image attached below.

Read more on taco and inequalities here: https://brainly.com/question/19709106

#SPJ1

View image Lanuel
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