anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Do you realize you have to make a system of equations?
anonymous
  • anonymous
@Sophia.13
anonymous
  • anonymous
You there? :P .

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

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

Looking for something else?

Not the answer you are looking for? Search for more explanations.