Question

Use the scenario and elimination by multiplication to answer the question.

At lunch, Marc bought 2 quesadillas and 2 tacos for $10.16, and Jason paid $11.84 for 5 tacos and 1 quesadilla. What was the cost of each taco and quesadilla? Let the cost of a quesadilla be x and the cost of the taco be y.

A. The quesadillas cost $3.11 each, and the tacos cost $1.69 each.
B. The quesadillas cost $1.57 each, and the tacos cost $3.45 each.
C. The quesadillas cost $3.39 each, and the tacos cost $1.69 each.
D. The quesadillas cost $3.39 each, and the tacos cost $1.57 each.

Answer 1

Answer:
C
Step-by-step explanation:
You could solve this in the elimination way that I have been done in here.

I use Jason as an example that he paid $11.84 for 5t ( tacos ) + 1q ( quesadilla )
Therefore we could do the elimination if the taco cost 3.45 x 5 = 17.25, would be over the cost.

-> Cross B answer

Then we take 1.57 x 5 = 7.85. 11.84 - 7.85 = 3.99, which it is not 3.39 => Cross D answer.

Therefore the cost of tacos need to be 1.69 because there have been a repetition in both A& C

1.69 x 5 = 8.45. $11.84 - 8.45 = $3.39 for quesadillas.

Which it proves for the answer is C

Hope I have helping you on this question