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Write an equation to represent the following situation:
Adult tickets for a movie cost $12 and tickets for a child cost $8. If the theater collected $600 for the 10PM show, how many of each ticket did they sell?
How many children's tickets were sold if 26 adult tickets were sold?
What do the intercepts represent ?

Respuesta :

jeremiahmandukic
26 adult tickets = $12 (cost of an adult movie ticket) • 26 = $312

There were $312 dollars worth of money sold from the adult tickets that were sold for the 10PM show.

$600 - $312 = $288

This means that there were $288 dollars worth of money sold from children’s tickets for the 10PM show.

Since each children ticket is $8, you would do

8x = $288

(X IS HOW MANY CHILDREN TICKETS THAT WERE SOLD)

Once you do that, you would simplify it by dividing 8x by 8 which would give you x by itself and do the same thing for the other side as you have to do the same for both sides of the equal sign. So, you would do $288 divided by 8 and get 36.

x = 36

To check our work, we will substitute the value of x into the equation

8(36) = $288
288 = $288

Therefore, there were 36 children tickets sold for the 10PM show.
LeCoolKid

Answer:

A. 36 children tickets

B. The intercepts of this equation represent how many tickets one type of ticket would have sold if the other type of ticket was not bought at all.

Step-by-step explanation:

So lets start with what we know

Adult tickets = $12

Children Ticket = $8

The theater collected $600.

So with this information, we can write down the equation

12x + 8y = 600

Note: x is the variable for the number of adult tickets and y is the variable for the number of children tickets

Find the amount of children tickets sold if 26 adult tickets were sold

So, this problem is trying to make us solve for y, if x = 26. Let's plug in the values and start solving for that value!

Solve for y                 if x = 26

12x + 8y = 600

12(26) + 8y = 600

312 + 8y = 600

-312          -312

         8y = 288

    8y / 8 = 288 / 8

            y = 36

So, we have our answer as y = 36.

Solution Statement:

If 26 adult tickets are sold, 36 children tickets must be sold if the total amount collected was $600.

The intercepts of this equation represent how many tickets one type of ticket would have sold if the other type of ticket was not bought at all.

If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D

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