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?
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.