Question

Jason owns a food truck that sells tacos and burritos. He sells each taco for $4.75 and each burrito for $7.50. Yesterday Jason made a total of $790 in revenue from all burrito and taco sales and there were twice as many burritos sold as there were tacos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system.

Answer 1

Answer:

The system of equations are;

4.75t + 7.50b = 790

t = 2b

where t is the number of tacos and b is the number of burritos

Step-by-step explanation:

In this question, we are concerned with writing the system of equations that could help us determine the number of tacos and burritos sold.

Firstly, we start with defining variables. Let the number of tacos sold be t and the number of burritos sold be b

*there we twice as many burritos as tacos sold. What this simply means is that the number of tacos sold is twice the number of tacos.

Mathematically that could be written as ;

t = 2b ••••••••••(i)

Now, let’s work with the revenue;

Each taco is sold at $4.75 and he sold a total of t tacos. The revenue realized from tacos sold is thus $4.75 * t = $4.75t

The money realized from selling b burritos at $7.50 each would be $7.50 * b = $7.50b

The addition of both of these will give the total revenue of $790

Thus, we have;

4.75t + 7.50b = 790 ••••••• (ii)