You and a friend go to Tacos Galore for lunch. You order four soft tacos and three burritos and your total bill is $15. Your
friend's bill is $9 for two soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost?

Respuesta :

Using a system of equations, it is found that a soft taco costs $1 and a burrito costs $3.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Cost of a soft taco.
  • Variable y: Cost of a burrito.

You order four soft tacos and three burritos and your total bill is $15, hence:

[tex]4x + 3y = 15[/tex]

Your friend's bill is $9 for two soft tacos and two burritos, hence:

[tex]2x + 2y = 9[/tex]

[tex]x + y = 4.5[/tex]

[tex]y = 4.5 - x[/tex]

Hence, replacing on the first equation:

[tex]4x + 3y = 15[/tex]

[tex]4x + 3(4.5 - y) = 15[/tex]

[tex]x = 1.5[/tex]

[tex]x = 4.5 - 1.5 = 3[/tex]

Hence, a soft taco costs $1 and a burrito costs $3.

To learn more about system of equations, you can take a look at https://brainly.com/question/14183076

ACCESS MORE