anonymous
  • anonymous
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? 7 8 9 10
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
this is one expensive place but how many kids went so we can see how many adults went
anonymous
  • anonymous
That's my problem... It doesn't say... that's the whole question. :/
anonymous
  • anonymous
Set up two equations, one for the total number of people that went, and one for the total cost

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anonymous
  • anonymous
oh
anonymous
  • anonymous
ok i will try no promises
anonymous
  • anonymous
@CalebBeavers What do you mean. @ashlynn143 It's okay, anything helps. (:
anonymous
  • anonymous
Call kids x and adults y so x+y=17 since 17 people went now try to make one for the cost
anonymous
  • anonymous
How would I make one for the cost if I don't know how many people went?
anonymous
  • anonymous
17 people went
anonymous
  • anonymous
Use the variables...you know the price for each one and the total cost
anonymous
  • anonymous
could this help y=adult x= child y(53.50) + x(47.25)
anonymous
  • anonymous
anonymous
  • anonymous
$53.50x + 47.25y = 859.50 ???
anonymous
  • 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
  • anonymous
ok so now what do we do
anonymous
  • anonymous
??? I'm still confused. I'm sorry.. I'm horrible at math and it's been a long day. X(
anonymous
  • anonymous
because we dont know the number of kids
anonymous
  • anonymous
I get what you have so far, but how do we get the number of adults who went?
anonymous
  • anonymous
Solve for y in the first equation
anonymous
  • anonymous
i will try
anonymous
  • anonymous
How.. we don't know what x equals.
anonymous
  • anonymous
Solve for y in terms of x, just isolate y on the left side
anonymous
  • anonymous
okay, so... 47.25y=859.50-53.50x do I have that right so far or am I doing it wrong?
anonymous
  • anonymous
Solve for it in the first equation x+y=17 itll be much easier
anonymous
  • anonymous
okay so... y=17+x ... is that right so far?
anonymous
  • anonymous
*17-x
anonymous
  • anonymous
yep, now take 17-x and plug that in for y in the other equation
anonymous
  • anonymous
i got to go sorry
anonymous
  • anonymous
@ashlynn143 it's okay. (:
anonymous
  • anonymous
What do you mean? like: 53.50x+47.25(17-x)=859.50 ???
anonymous
  • anonymous
Yes, now solve for x
anonymous
  • anonymous
How do I solve for x?
anonymous
  • anonymous
Algebra...just solve like normal theres only one variable now
anonymous
  • anonymous
yeah, but it's 17-x ... gah!! I'm confused. :(
anonymous
  • anonymous
Do you know how to solve an equation?
anonymous
  • 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
  • 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
  • anonymous
Distribute the 47.25 into the parentheses first
anonymous
  • anonymous
oh... okay, so... 53.50x + 803.25 + x = 859.50 ??? right? What next? (:
anonymous
  • anonymous
You didnt multiply the x.. 53.50x+803.25-47.25x=859.50
anonymous
  • anonymous
ohh... okay. duh. Alright. so 53.50x + 803.25 - 47.25x = 859.50.. now what?
anonymous
  • anonymous
combine like terms and subtract 803.25 from both sides
anonymous
  • anonymous
okay... so I get 57.
anonymous
  • anonymous
Now what?
anonymous
  • anonymous
thats not right
anonymous
  • anonymous
What? :( 53.50x + 503.25 = 859.50 6.25x + 503.25= 859.50 -503.25 6.25= 356.25 +6.25 = 57
anonymous
  • anonymous
6.25x=56.25 x=56.25/6.25
anonymous
  • anonymous
9? ?
anonymous
  • anonymous
(: YOU ARE AMAZING!! THANKS SO MUCH!!!! :D

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