Question

A taco truck sells y vegetable tacos for $2.50 each and x beef tacos for $3.25 each. On Sunday, the truck earm $120.00 and sells a total of 39 tacos. The situation can be represented by the system of equations and graph shown.

y = -1.3x + 48

y=-x+39

y

15+

10

5

Vegetable Tacos

0

25

30

35

Beef Tacos

40

How many vegetable tacos and beef tacos does the truck sell on Sunday?

Answer 1

To solve the system of equations, we can use substitution or elimination method.

Using substitution:
Since we have y = -1.3x + 48 from the first equation, we can substitute this into the second equation:
-1.3x + 48 = -x + 39
0.3x = 9
x = 30

Now substitute this x value into any of the equations to find y:
y = -1.3(30) + 48
y = 9

Therefore, the truck sells 30 beef tacos and 9 vegetable tacos on Sunday.