David owns a food truck that sells tacos and burritos. He sells each taco for $4.50 and

each burrito for $7.75. Yesterday David made a total of $519.25 in revenue from all

taco and burrito sales and there were twice as many tacos sold as there were burritos

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

The number of tacos sold = 25.96 (approximately 26).

The number of burritos sold = 51.9 (approximately 60).

Step-by-step explanation:

step 1:

Given,

Cost of each tacos = $4.50

Cost of each burrito = $7.75

Total revenue = $519.25

step 2:

Let us assume,

Number of tacos sold = x

Number of burrito = y

There were twice as many tacos sold as there were burritos (2x = y)

step 3:

The equation can be formed as,

4.50x + 7.75y = 519.25

Subtitute y=2x in the above equation,

4.50x + 7.75 (2x) = 519.25

4.50x + 15.5x = 519.25

20x = 519.25

x = 519.25 / 20

x = 25.96

step 4:

Substitute x=25.96 in y=2x

y = 2 (25.96)

y = 51.9

∴ The number of tacos sold = 25.96 (approximately 26)

The number of burritos sold = 51.9 (approximately 60)