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Sophia.13
 3 years ago
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
Sophia.13
 3 years ago
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

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Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Do you realize you have to make a system of equations?

Sophia.13
 3 years ago
Best ResponseYou've already chosen the best response.0Sorry, yeah I'm here and no.. i dont know what to do at all. /:

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Okay you have two situations, whenever you have 2 situations you usually have to make a system of equations.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1First of all do you KNOW what a system of equations is?

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1It's where you work with two equations and different variables.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1For example like: dw:1356304863230:dw

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1The idea for a system of equations is to solve for both of the variables.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1So I said: dw:1356304949957:dw

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Since you are just learning this we will use substitution.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1BTW this is NOT the question. It's just an example.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1By substitution I mean that you make one variable in terms of another variable.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Okay, what is it you don't get? :)

Sophia.13
 3 years ago
Best ResponseYou've already chosen the best response.0Its just a little confusing hah, but i think i it now.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Are you sure? :) . I got time. I can explain if you really need to :) .

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Basically, I said that x=5y from the first equation. Since I know x=5y I substituted the x in the second equation with 5y instead of an x.

Sophia.13
 3 years ago
Best ResponseYou've already chosen the best response.0Why dont u just use x instead of substituting it with y?

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1The problem with that is that we don't know what x is equal to. So we have to get rid of that x somehow.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1From the first equation we are given x+y=5 . So x=5y Since we know x=5y 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.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Does that make sense? :) .

Sophia.13
 3 years ago
Best ResponseYou've already chosen the best response.0yeah, but i just dont understand why you need to substitute x with y instead of just keeping x, x?

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Okay, think of it this way. Do you know what x is equal to?

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1We aren't given any values for x at all.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1So how would you solve for x unless you get rid of it somehow? :) .

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Okay then. So we have: dw:1356305797768:dw dw:1356305817320:dw

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Wait wait!!! That's not the question!!! :P . I just provided an example.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1@Sophia.13 : Now shall we work on your question together? :) .

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Let the children's ticket's price be x Let the adult's ticket's price be y.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1One second. Can you hold on? I need to actually do this out myself ^_^ .

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Ohh sorry let's switch that. Let the adult's ticket's price be x Let the children's ticket's price be y.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1We 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.

Sophia.13
 3 years ago
Best ResponseYou've already chosen the best response.0yeah that makes sense

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1In the first opening there were 56 adults and 112 children and the sum of both of those equaled 896 after they bought there tickets.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1So can you see a way to make an equation from that?

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Let the adult's ticket's price be x Let the children's ticket's price be y.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Now in the second opening week, there were 23 adults and 92 kids and there tickets equaled a total of $552.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Can you make an equation from that?

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1So we have: dw:1356306963125:dw

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Now, we don't what any of the prices are so we have to get rid of one of the variables.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Do you understand? :) .

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Now let's pick the first equation. Can you solve for x? :) .

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Aww shucks. :P . Thanks for the fanning.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1yes, there is going to be a bunch of ugly fractions involved.

Sophia.13
 3 years ago
Best ResponseYou've already chosen the best response.0I dont exactly remember how to solve for x.. i swear my brain just went through a time warp and lost my mathematical memory ___

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1It's okay... :) . dw:1356307195870:dw

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Now what would you do? :) .

Sophia.13
 3 years ago
Best ResponseYou've already chosen the best response.0Um..for 56x = 896112y dive both sides of the equation by 56?

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1See? You remember just fine :) .

Sophia.13
 3 years ago
Best ResponseYou've already chosen the best response.0Hah so x = 16  112y? i dont think thats right is it?

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1No :3 . dw:1356307670894:dw

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1I tend to avoid simplyfing. Don't ask why.

Sophia.13
 3 years ago
Best ResponseYou've already chosen the best response.0Ohhhhh that makes sense. :P

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Now we know what x equals in terms of y.

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1We have: dw:1356307766229:dw

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1We know what x equals. Can you substitute for x? :) .

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Yes, there is an ugly fraction involved.

Sophia.13
 3 years ago
Best ResponseYou've already chosen the best response.0I dont know what to do ..

Dido525
 3 years ago
Best ResponseYou've already chosen the best response.1Okay so we have:dw:1356308102259:dw

Sophia.13
 3 years ago
Best ResponseYou've already chosen the best response.0hold on a sec please. I'll brb(:
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