Solving a system of equations, we conclude that 35 tickets for movie a were sold
Let's define the variables:
Here we know that a total of 47 tickets were sold, then:
x + y = 47
And they sold for a total of $200, then:
x*$4 + y*$5 = $200
So we have a system of equations:
x + y = 47
x*$4 + y*$5 = $200
We want to solve this for x, then we need to isolate the variable y in one of the equations, doing that in the first one we get:
y = 47 - x
Now we can replace that in the other equation to get:
x*$4 + (47 - x)*$5 = $200
x*$4 + $235 - x*$5 = $200
$235 - x*$1 = $200
$235 - $200 = x*$1
$35 = x*$1
$35/$1 = x = 35
This means that 35 tickets for the movie a were sold.
If you want to learn more about systems of equations:
https://brainly.com/question/13729904
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