Question

Brianna owns a food truck that sells tacos and burritos. She only has enough supplies to make 110 tacos or burritos. She sells each taco for $3.50 and each burrito for $7. Brianna must sell no less than $490 worth of tacos and burritos each day. 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. i need 2 inequalities

Answer 1

The solution in the attached figure

One possible solution is the point (30,60)

Explanation:

Let

x -----> represents the number of tacos sold

y -----> represents the number of burritos sold

we know that

`x+y \leq 110` ------> inequality A

`3.50x+7y \geq 490` -----> inequality B

using a graphing tool

The solution is the triangular shaded area

see the attached figure

One possible solution is the point (30,60)

Remember that if a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution

so

That means----> The number of tacos sold is 30 and the number of burritos sold

Verify

Substitute the value of x and the value of y in each inequality

Inequality A

`30+60 \leq 110`

`90 \leq 110` ----> is true

Inequality B

`3.50(30)+7(60) \geq 490`

`525 \geq 490` ----> is true

The ordered pair satisfy both inequalities, then the ordered pair is a solution of the system