A group of 17 people are going to an amusement park. Adult tickets cost $53.50 each and child tickets cost $47.25 each. If the total cost for admission to the park is $859.50, how many adults attended the amusement park?
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- anonymous

- katieb

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- anonymous

this is one expensive place but how many kids went so we can see how many adults went

- anonymous

That's my problem... It doesn't say... that's the whole question. :/

- anonymous

Set up two equations, one for the total number of people that went, and one for the total cost

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## More answers

- anonymous

oh

- anonymous

ok i will try no promises

- anonymous

@CalebBeavers What do you mean. @ashlynn143 It's okay, anything helps. (:

- anonymous

Call kids x and adults y
so x+y=17 since 17 people went
now try to make one for the cost

- anonymous

How would I make one for the cost if I don't know how many people went?

- anonymous

17 people went

- anonymous

Use the variables...you know the price for each one and the total cost

- anonymous

could this help
y=adult x= child
y(53.50) + x(47.25)

- anonymous

@CalebBeavers ^^^^^

- anonymous

$53.50x + 47.25y = 859.50 ???

- anonymous

Okay, adults can be x. thats right
so now we have a system of equations
x+y=17
53.50x+47.25y=859.50

- anonymous

ok so now what do we do

- anonymous

??? I'm still confused. I'm sorry.. I'm horrible at math and it's been a long day. X(

- anonymous

because we dont know the number of kids

- anonymous

I get what you have so far, but how do we get the number of adults who went?

- anonymous

Solve for y in the first equation

- anonymous

i will try

- anonymous

How.. we don't know what x equals.

- anonymous

Solve for y in terms of x, just isolate y on the left side

- anonymous

okay, so... 47.25y=859.50-53.50x
do I have that right so far or am I doing it wrong?

- anonymous

Solve for it in the first equation
x+y=17
itll be much easier

- anonymous

okay so... y=17+x
... is that right so far?

- anonymous

*17-x

- anonymous

yep, now take 17-x and plug that in for y in the other equation

- anonymous

i got to go sorry

- anonymous

@ashlynn143 it's okay. (:

- anonymous

What do you mean? like: 53.50x+47.25(17-x)=859.50 ???

- anonymous

Yes, now solve for x

- anonymous

How do I solve for x?

- anonymous

Algebra...just solve like normal theres only one variable now

- anonymous

yeah, but it's 17-x ... gah!! I'm confused. :(

- anonymous

Do you know how to solve an equation?

- anonymous

Yeah, but it's just confusing because there are no real numbers... like 17-x throws me off and gets me all confused.

- anonymous

Like if I were to solve for x, I'd have to isolate the x, but I don't know how in the world to do that because the 17-x is throwing me off and I'm confused on the whole problem now. :( :(

- anonymous

Distribute the 47.25 into the parentheses first

- anonymous

oh... okay, so... 53.50x + 803.25 + x = 859.50
??? right? What next? (:

- anonymous

You didnt multiply the x..
53.50x+803.25-47.25x=859.50

- anonymous

ohh... okay. duh. Alright. so 53.50x + 803.25 - 47.25x = 859.50.. now what?

- anonymous

combine like terms and subtract 803.25 from both sides

- anonymous

okay... so I get 57.

- anonymous

Now what?

- anonymous

thats not right

- anonymous

What? :(
53.50x + 503.25 = 859.50
6.25x + 503.25= 859.50
-503.25
6.25= 356.25
+6.25
= 57

- anonymous

6.25x=56.25
x=56.25/6.25

- anonymous

9? ?

- anonymous

(: YOU ARE AMAZING!! THANKS SO MUCH!!!! :D

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