Question

Aaliyah owns a food truck that sells tacos and burritos. she sells each taco for $4.75 and each burrito for $7. yesterday aaliyah made a total of $777 in revenue from selling a total of 129 tacos and burritos. determine the number of tacos sold and the number of burritos sold.

Answer 1

A system of linear equations helps determine the number of tacos and burritos sold. The calculations reveal that Aaliyah sold 56 tacos and 73 burritos to achieve a revenue of $777 with a total of 129 items.

Step-by-step explanation:

The question involves figuring out the number of tacos and burritos sold given the total revenue and the total number of items sold. This is a system of linear equations problem that can be solved using algebra. We can set up two equations based on the given information:

Let T be the number of tacos sold, and B be the number of burritos sold.

1. T + B = 129 (total number of items sold)
2. 4.75T + 7B = 777 (total revenue from tacos and burritos)

To solve, you can use substitution or elimination. Multiply the first equation by 4.75 to line up the taco term with the second equation:
4.75T + 4.75B = 612.75
Now subtract this new equation from the second one to eliminate the T variable:

7B - 4.75B = 777 - 612.75
2.25B = 164.25
B = 73

Now substitute B back into the first equation to find T:
T + 73 = 129
T = 56

Thus, Aaliyah sold 56 tacos and 73 burritos.