Question

2) Solve : You and a friend go to El Super Taco after school. You order three soft tacos and two burritos and pay $11. Your friend pays $8 for four soft tacos and one burrito. How much do tacos cost? How much do burritos cost?​

Answer 1

Tacos cost $1 each and burritos cost $4 each.

Step-by-step explanation:

To solve this problem, let's first assign variables to the cost of tacos and burritos. Let's say the cost of a taco is 'x' and the cost of a burrito is 'y'.

From the given information, we can set up a system of equations:

3x + 2y = 11 - Equation (1)

4x + y = 8 - Equation (2)

To solve this system, we can use the method of substitution. Solve Equation (2) for 'y' in terms of 'x':
y = 8 - 4x

Now substitute this value of 'y' in Equation (1):
3x + 2(8 - 4x) = 11

Simplify the equation:
3x + 16 - 8x = 11

Combine like terms:
-5x + 16 = 11

Move constants to the other side:
-5x = 11 - 16

Simplify:
-5x = -5

Divide both sides by -5:
x = 1

Now substitute this value of 'x' into Equation (2) to find 'y':
4(1) + y = 8

Simplify:
4 + y = 8

Move constant to the other side:
y = 8 - 4

Simplify:
y = 4

Therefore, tacos cost $1 each and burritos cost $4 each.

Answer 2

A burrito costs 2.8 dollars.

Step-by-step explanation:

3b + 2t = 11

1b + 4t = 8

b = 14/5, t = 13/10

14/5 as a mixed number is 2 4/5

4/5 of a dollar is 80 cents.

So b = 2.8

A burrito costs 2.8 dollars.