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Melissa purchased 4 tacos and 2 burritos and her total was $21. Casey purchased 4 tacos and 3 burritos and her total was $26.50. What is the

Home/Math/Melissa purchased 4 tacos and 2 burritos and her total was $21. Casey purchased 4 tacos and 3 burritos and her total was $26.50. What is the

Melissa purchased 4 tacos and 2 burritos and her total was $21. Casey purchased 4 tacos and 3 burritos and her total was $26.50. What is the

Question

Melissa purchased 4 tacos and 2 burritos and her total was $21. Casey purchased 4 tacos and 3 burritos and her total was $26.50. What is the price of one taco?

## Answers ( )

Answer: the price of one taco is $2.5

Step-by-step explanation:

Let x represent the price of one taco.

Let y represent the price of one burritos.

Melissa purchased 4 tacos and 2 burritos and her total was $21. This means that

4x + 2y = 21- – – – – – – – – – – – – -1

Casey purchased 4 tacos and 3 burritos and her total was $26.50. This means that

4x + 3y = 26.5- – – – – – – – – – – – – -1

Subtracting equation 2 from equation 1, it becomes

– y = – 5.5

y = 5.5

Substituting y = 5.5 into equation 1, it becomes

4x + 2 × 5.5 = 21

4x + 11 = 21

4x = 21 – 11

4x = 10

x = 10/4

x = 2.5