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A children's movie is playing at the local theater. The first showing earned $896 in ticket sales, and there were 56 adults and 112 children in attendance. The second showing earned $552 in ticket sales, and there were 23 adults and 92 children in attendance. find the price of an adult's ticket and the price of a child's ticket. A. Adult: $8.50; Child: $6.25 B. Adult: $8.00; Child: $4.00 C. Adult: $7.00; Child: $6.00 D. Adult: $7.50; Child: $5.75

Mathematics
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Do you realize you have to make a system of equations?
You there? :P .

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Other answers:

Sorry, yeah I'm here and no.. i dont know what to do at all. /:
Okay you have two situations, whenever you have 2 situations you usually have to make a system of equations.
First of all do you KNOW what a system of equations is?
Okay, and no..
It's where you work with two equations and different variables.
For example like: |dw:1356304863230:dw|
ohh ok
Do you understand?
kinda
The idea for a system of equations is to solve for both of the variables.
ohh okkay i get it
So I said: |dw:1356304949957:dw|
Since you are just learning this we will use substitution.
ok
BTW this is NOT the question. It's just an example.
By substitution I mean that you make one variable in terms of another variable.
Does that make sense?
Yeah
|dw:1356305047829:dw|
Does that make sense?
kiinda
Okay, what is it you don't get? :)
Its just a little confusing hah, but i think i it now.
Are you sure? :) . I got time. I can explain if you really need to :) .
Basically, I said that x=5-y from the first equation. Since I know x=5-y I substituted the x in the second equation with 5-y instead of an x.
Does that make sense?
Why dont u just use x instead of substituting it with y?
The problem with that is that we don't know what x is equal to. So we have to get rid of that x somehow.
From the first equation we are given x+y=5 . So x=5-y Since we know x=5-y we can substitute that for x in the second equation and solve for y. After solving for y we can solve for x easily afterwards.
Does that make sense? :) .
yeah, but i just dont understand why you need to substitute x with y instead of just keeping x, x?
Okay, think of it this way. Do you know what x is equal to?
no
We aren't given any values for x at all.
oh
So how would you solve for x unless you get rid of it somehow? :) .
Does that make sense?
Oh i get it nowww
Good! :D .
Okay then. So we have: |dw:1356305797768:dw| |dw:1356305817320:dw|
Wait wait!!! That's not the question!!! :P . I just provided an example.
|dw:1356305892765:dw|
@Sophia.13 : Now shall we work on your question together? :) .
Okay.(:
Let the children's ticket's price be x Let the adult's ticket's price be y.
Do you get that?
Yeah
One second. Can you hold on? I need to actually do this out myself ^_^ .
Ohh sorry let's switch that. Let the adult's ticket's price be x Let the children's ticket's price be y.
Do you get that?
We know that in the first opening the total earnings for the adults and children combined equaled $896 We also know that in the second opening the total earnings for the adults and children equaled $552.
Does that make sense?
yeah that makes sense
In the first opening there were 56 adults and 112 children and the sum of both of those equaled 896 after they bought there tickets.
So can you see a way to make an equation from that?
Let the adult's ticket's price be x Let the children's ticket's price be y.
56x + 112y = 896 ?
Excellent job!
Now in the second opening week, there were 23 adults and 92 kids and there tickets equaled a total of $552.
Can you make an equation from that?
23x + 92y = 552 ? c:
Very good! :) .
So we have: |dw:1356306963125:dw|
Now, we don't what any of the prices are so we have to get rid of one of the variables.
Do you understand? :) .
Now, we don't know*
Yeah i understand.
Now let's pick the first equation. Can you solve for x? :) .
Aww shucks. :P . Thanks for the fanning.
No problem C:
yes, there is going to be a bunch of ugly fractions involved.
I dont exactly remember how to solve for x.. i swear my brain just went through a time warp and lost my mathematical memory -___-
It's okay... :) . |dw:1356307195870:dw|
Now what would you do? :) .
Um..for 56x = 896-112y dive both sides of the equation by 56?
yep :) .
See? You remember just fine :) .
So x equals...? :)
Hah so x = 16 - 112y? i dont think thats right is it?
No :3 . |dw:1356307670894:dw|
I tend to avoid simplyfing. Don't ask why.
Ohhhhh that makes sense. :P
Now we know what x equals in terms of y.
We have: |dw:1356307766229:dw|
We know what x equals. Can you substitute for x? :) .
Yes, there is an ugly fraction involved.
I dont know what to do .-.
Okay so we have:|dw:1356308102259:dw|
We know x equals
|dw:1356308121223:dw|
hold on a sec please. I'll brb(:
Substitute for x.
Okay :) .
|dw:1356308143795:dw|

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