Question

For the following problem, exclude taxes. John & Julie like to go to the Mexican restaurant for tacos and enchiladas. For 3 tacos and 2 enchiladas, John paid $9.75, while Julie paid $12.50 for 2 tacos and 4 enchiladas. What did each delectable menu item cost?

Answer 1

Each taco costs $2.75 and each enchilada costs $1.75.

Step-by-step explanation:

To find the cost of each item, we need to set up a system of equations. Let's denote the cost of a taco as 'x' and the cost of an enchilada as 'y'. From the given information, we can write the following equations:

3x + 2y = 9.75

2x + 4y = 12.50

From the second equation, we can rearrange it to get x in terms of y: x = 6.25 - 2y.

Substituting this value of x into the first equation, we have: 3(6.25 - 2y) + 2y = 9.75. Solving this equation gives us y = 1.75. Substituting this value of y back into the second equation, we find x = 2.75.

Therefore, each taco costs $2.75 and each enchilada costs $1.75.