Question

You and a friend go to a Mexican restaurant for lunch. You order soft tacos and one burrito and your total bill was $14.00. Your friend's bill was $12.00 and they ordered two soft tacos and two burritos. Set up a system of equations and determine the price of one soft taco and one burrito.

Answer 1

The price of one soft taco is $4.00 and the price of one burrito is $2.00.

Step-by-step explanation:

Here is the correct system of equations and the solution to determine the price of one soft taco and one burrito:

System of equations:

Let x represent the price of one soft taco and y represent the price of one burrito.

Equation 1: 3x + y = 14.00 (Your order)

Equation 2: 2x + 2y = 12.00 (Your friend's order)

Solution:

To solve for x and y, we can use substitution or elimination. Let's use elimination.

Multiply Equation 1 by -2:

-6x - 2y = -28.00

Add Equation 2 to the modified Equation 1:

-6x - 2y = -28.00

2x + 2y = 12.00

-4x = -16.00

Divide both sides by -4:

x = 4.00

Substitute x = 4.00 into Equation 1:

3(4.00) + y = 14.00

12.00 + y = 14.00

y = 2.00

Therefore, the price of one soft taco is $4.00 and the price of one burrito is $2.00.