Question

Please help! I don't understand this. I have to graph the points from the answer. Here the question:

Skylar owns a food truck that sells tacos and burritos. She sells each taco for $3 and each burrito for $6. Yesterday Skylar made a total of $600 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,x, and the number of burritos sold, yy.

Answer 1

80 tacos and 40 burritos because of algebra

Answer 2

Number of tacos: 80

Number of burritos: 40

Explanation:

First, set the variables.

x = number of tacos sold

y = burritos sold

Skylar sold 120 tacos and burritos (total), which can be represented as:

x + y = 120

If Skylar sells x tacos at 3 dollars each, the amount she earns is $3x

When she sells y burritos at 6 dollars each, the amount she earns is $6x.

Her total earnings would be: 3x + 6y

Her earnings are $600 dollars, so the equation is 3x + 6y = 600

Now, in order to figure out how many of each she sold, we need to solve this system:

3x + 6y = 600

x + y = 120

Subtract y from the second equation.

x = 120 - y

Substitute this into the first equation.

3 (120 - y) + 6y = 600

Simplify.

3y = 240

y = 80

Substitute this into x = 120 - y

x = 40