Question

At Taco Bell, it costs $18.39 for five chalupas and six small nachos. If it costs $4.63 for one chalupa and 2 nachos, how much is a chalupa?

Answer 1

By setting up a system of equations to represent the cost of chalupas and nachos, we find that the cost of a single chalupa at Taco Bell is $2.25.

Step-by-step explanation:

Let's begin by establishing the cost equation based on the given information. We know that it costs $18.39 for five chalupas and six small nachos. We also have another scenario where one chalupa and two nachos cost $4.63. To find the cost of a single chalupa, we need to set up a system of equations and solve for the unknowns, which are the cost of a chalupa (C) and the cost of a nacho (N).

The equations can be written as:

1. 
   
3. 5C + 6N = $18.39
4. 
   
6. 1C + 2N = $4.63

If we multiply the second equation by three, we get:

1. 
   
3. 3C + 6N = $13.89

Subtracting this new equation from the first one, we have:

5C - 3C + 6N - 6N = $18.39 - $13.89

2C = $4.50

Dividing both sides by 2 gives us the cost of a chalupa:

C = $2.25

Therefore, the cost of a chalupa is $2.25.