Carter and Stetson go lunch at yummy tac. Carter orders 2 enchiladas and 3 tacos and spends $13.75 (before tax). Stetson orders 4 enchiladas and 2 tacos and spends (before . Look in description box

Question

Carter and Stetson go lunch at yummy tac. Carter orders 2 enchiladas and 3 tacos and spends $13.75 (before tax). Stetson orders 4 enchiladas and 2 tacos and spends (before tax(. What was the cost of an enchilada? What was the cost of a taco?

Answer 1

 Faith, to solve this, you need to create a system of two equations and then solve for the price of a taco and the price of an enchilada. To create the system of equations, you need to translate English into mathematical symbols.

First, let's define our terms.

E: cost of an enchilada in dollars

T: cost of a taco in dollars

2 enchiladas and 3 tacos and spends $13.75

2E + 3T = 13.75

4 enchiladas and 2 tacos and spends $18.50

4E + 2T = 18.50

So, we have our two equations in two unknowns (E and T), and we can solve them if we know how. I am going to solve the second equation for T, and then substitute the expression that equals T for T in the first equations. Here it goes!

4E + 2T = 18.50

—4E —4E

2T = 18.50 —4E

Divide each side by 2 to get 1T or T.

T = 9.25 —2E

Back to the first equation, where I will substitute the expression (9.25 —2E) for T.

2E + 3T = 13.75

2E + 3(9.25 —2E) = 13.75

2E + 27.75 —6E = 13.75

—4E + 27.75 = 13.75

—4E = 13.75 — 27.75

—4E = —14.00

E = 3.50

So, an enchilada costs $3.50.

Faith, I do not want to do your entire homework problem for you. Thus, I will leave it to you to substitute 3.50 (or 3.5) for E in the equation 2E + 3T = 13.75 and solve for T, the cost of a taco.

Answer 2

I believe this problem is missing information for Stetson. Please update so that I can assist thank you!