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How Much Money Did The Movie Theater Get? PLS ANSWER FAST I GIVE BRAINLIEST

Movie a costs 4 dollars

Movie b costs 5 dollars

Movie theater got 200 dollars and sold 47 ticket

How many tickets did movie a sell

Sagot :

facundo3141592

Solving a system of equations, we conclude that 35 tickets for movie a were sold

How many tickets did movie a sell?

Let's define the variables:

  • x = tickets of movie a sold.
  • y = tickets of movie b sold.

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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