The deluxe taco cost 2.95. the vegetarian taco cost 2.25. kenya orders a total of 50 tacos. the total price before tax is 137. how many of each taco did kenya order?

Kenya bought 35 deluxe taco and 15 vegetarian taco

Step-by-step explanation:

Let x represent the number of deluxe taco that Kenya bought.

Let y represent the number of vegetarian taco that Kenya bought.

Kenya orders a total of 50 tacos. This means that

x + y = 50

The deluxe taco cost 2.95. The vegetarian taco cost 2.25. The total price before tax is 137. This means that

2.95x + 2.25y = 137 - - - - - - - - - - - 1

Substituting x = 50 - y into equation 1, it becomes

2.95(50 - y) + 2.25y = 137

147.5 - 2.95y + 2.25y = 137

- 2.95y + 2.25y = 137 - 147.5

- 0.7y = - 10.5

y = -10.5/-0.7

y = 15

Substituting y = 15 into x = 50 - y, it becomes

x = 50 - 15

x = 35

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