Answer:
She sold 40 tacos and 80 burritos.
Step-by-step explanation:
Let's define the variables:
x = number of tacos sold
y = number of burritos sold
if Skylar sold x tacos, and each taco costs $3, then the total amount she gets is:
$3*x
And if she sold y burritos, and each one costs $6, then the total amount she gets is:
$6*y
combining these two, she has:
$3*x + $6*y
We know that she made a total revenue of $600, then we have the equation:
$3*x + $6*y = $600
We also know that in total, she sold 120 tacos and burritos, then:
x + y = 120
We have the system of equations:
$3*x + $6*y = $600
x + y = 120
To solve this, we need to start by isolating one of the variables in one of the equations, i will isolate x in the second equation:
x = 120 - y
Now we can replace that in the other equation to get
$3*(120 - y) + $6*y = $600
-$3*y + $360 + $6*y = $600
($6 - $3)*y + $360 = $600
$3*y + $360 = $600
$3*y = $600 - $360 = $240
y = $240/$3 = 80
She sold 80 burritos, and we know that:
x + y = 120
x + 80 = 120
x = 120 - 80 = 40
She sold 40 tacos.
