Question

kylie buys 8 tacos and 6 enchiladas for 60 dollars. isabella buys 3 tacos and 2 enchilladas for 21 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

$$8t + 6e = 60$$
$$3t + 2e = 21$$

Step3: Eliminate $e$: multiply eq2 by 3

$$9t + 6e = 63$$

Step4: Subtract eq1 from new eq2

$$(9t + 6e) - (8t + 6e) = 63 - 60$$
$$t = 3$$

Step5: Substitute $t=3$ into eq2

$$3(3) + 2e = 21$$
$$9 + 2e = 21$$

Step6: Solve for $e$

$$2e = 21 - 9$$
$$2e = 12$$
$$e = 6$$

Answer:

A. 3
B. 6