A restaurant sells burritos and tacos

Question

-one person paid 10.00 for 3 burritos and 2 tacos
-another person paid 6.25 for 1 burrito and 3 tacos
What is the cost of 1 burrito at the restaurant?

Answer 1

Let's denote the cost of one burrito as \( b \) and the cost of one taco as \( t \).

We can set up a system of equations based on the information given:

1. From the first person's order, we have: \[ 3b + 2t = 10.00 \]

2. From the second person's order, we have: \[ 1b + 3t = 6.25 \]

Now we can solve this system of equations.

First, we can manipulate the second equation to express \( b \) in terms of \( t \): \[ b = 6.25 - 3t \]

Next, we substitute \( b \) into the first equation: \[ 3(6.25 - 3t) + 2t = 10.00 \] Expanding this gives: \[ 18.75 - 9t + 2t = 10.00 \] Combining the terms: \[ 18.75 - 7t = 10.00 \] Now, isolating \( t \): \[ -7t = 10.00 - 18.75 \] \[ -7t = -8.75 \] \[ t = \frac{-8.75}{-7} = 1.25 \]

Now that we have \( t \), we can find \( b \): \[ b = 6.25 - 3(1.25) \] \[ b = 6.25 - 3.75 \] \[ b = 2.50 \]

Thus, the cost of one burrito at the restaurant is $2.50.