Hunter owns a food truck that sells tacos and burritos. He sells each taco for $3.25
and each burrito for $6.50. Yesterday Hunter made a total of $520 in revenue from
selling a total of 120 tacos and burritos. Graphically solve a system of equations in
order to determine the number of tacos sold, x, and the number of burritos sold, y.
Systems of equations

Respuesta :

Answer:

y = 40             x = 80

Step-by-step explanation:

520 = 3.25x + 6.5y        x+y=120

x+y=120

x = 120-y

520 = 3.25(120-y)+6.5y

520 = 390-3.25y+6.5y

520 = 390+3.25y

130=3.25y

Divide each side by 3.25

40 = y

x = 120-y

x = 120-(40)

x = 80

Answer:

Variable Definitions:

Each taco sells for $3.25, so xx tacos will bring in 3.25x3.25x dollars. Each burrito sells for $6.50, so yy burritos will bring in 6.50y6.50y dollars. Therefore, the total amount of revenue 3.25x+6.50y3.25x+6.50y equals \$520:$520:

3.25x+6.50y=520

3.25x+6.50y=520

Since a total of 120 tacos and burritos were sold, we know x+yx+y must equal 120.120.

x+y=120

x+y=120

Write System of Equations:

3.25x+6.50y=

3.25x+6.50y=

\,\,520

520

x+y=

x+y=

\,\,120

120

Solve for y in each equation

3.25x+6.50y=520

6.50y=−3.25x+520

6.50

6.50y

=

6.50

−3.25x+520

y=−

2

1

x+80

 

x+y=120

y=−x+120

 

let x = the number of tacos sold

let y = the number of burritos sold

(80, 40)

The x variable represents the number of tacos sold and the y variable represents the number of burritos sold. Since the lines intersect at the point (80,40) we can say:

There were 80 tacos sold and 40 burritos sold.

Step-by-step explanation: