Question

Her first order consists of two types of tacos. The deluxe taco costs $2.95 and the vegetarian taco costs $2.25. She orders a total of 50 tacos. The total price before tax is $137. How many of each taco did Kenya order?

Answer 1

Kenya ordered 35 deluxe tacos and 15 vegetarian tacos.

Step-by-step explanation:

The student ordered a total of 50 tacos. Let's assume she ordered x deluxe tacos and y vegetarian tacos. The deluxe taco costs $2.95 and the vegetarian taco costs $2.25. We can write two equations to represent the total number of tacos and the total price before tax:

x + y = 50

2.95x + 2.25y = 137

We can solve this system of equations using substitution or elimination. Let's use substitution. Solve the first equation for x: x = 50 - y. Substitute this value of x into the second equation:

2.95(50 - y) + 2.25y = 137

147.5 - 2.95y + 2.25y = 137

-0.7y = -10.5

y = 15

Substitute this value of y back into the first equation to find x: x + 15 = 50

x = 35

Therefore, Kenya ordered 35 deluxe tacos and 15 vegetarian tacos.