Question

cora buys 3 tacos and 5 enchiladas for 25 dollars. jack buys 8 tacos and 4 enchilladas for 48 dollars.
part a: enter the cost for one taco.
part b: enter the cost for one enchilada.
a. enter answer
b. enter answer

Explanation:

Step1: Define variables

Let $t$ = cost of 1 taco, $e$ = cost of 1 enchilada.

Step2: Set up equations

$$3t + 5e = 25$$
$$8t + 4e = 48$$

Step3: Simplify second equation

Divide by 4: $2t + e = 12$, so $e = 12 - 2t$.

Step4: Substitute $e$ into first equation

$$3t + 5(12 - 2t) = 25$$
$$3t + 60 - 10t = 25$$
$$-7t = 25 - 60$$
$$-7t = -35$$
$$t = 5$$

Step5: Solve for $e$

$$e = 12 - 2(5) = 12 - 10 = 2$$

Answer:

A. 5
B. 2