AGummiBear55
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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ashlynn143
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this is one expensive place but how many kids went so we can see how many adults went
AGummiBear55
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That's my problem... It doesn't say... that's the whole question. :/
CalebBeavers
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Set up two equations, one for the total number of people that went, and one for the total cost
ashlynn143
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oh
ashlynn143
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ok i will try no promises
AGummiBear55
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@CalebBeavers What do you mean. @ashlynn143 It's okay, anything helps. (:
CalebBeavers
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Call kids x and adults y
so x+y=17 since 17 people went
now try to make one for the cost
AGummiBear55
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How would I make one for the cost if I don't know how many people went?
ashlynn143
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17 people went
CalebBeavers
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Use the variables...you know the price for each one and the total cost
ashlynn143
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could this help
y=adult x= child
y(53.50) + x(47.25)
ashlynn143
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@CalebBeavers ^^^^^
AGummiBear55
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$53.50x + 47.25y = 859.50 ???
CalebBeavers
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Okay, adults can be x. thats right
so now we have a system of equations
x+y=17
53.50x+47.25y=859.50
ashlynn143
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ok so now what do we do
AGummiBear55
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??? I'm still confused. I'm sorry.. I'm horrible at math and it's been a long day. X(
ashlynn143
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because we dont know the number of kids
AGummiBear55
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I get what you have so far, but how do we get the number of adults who went?
CalebBeavers
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Solve for y in the first equation
ashlynn143
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i will try
AGummiBear55
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How.. we don't know what x equals.
CalebBeavers
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Solve for y in terms of x, just isolate y on the left side
AGummiBear55
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okay, so... 47.25y=859.50-53.50x
do I have that right so far or am I doing it wrong?
CalebBeavers
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Solve for it in the first equation
x+y=17
itll be much easier
AGummiBear55
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okay so... y=17+x
... is that right so far?
AGummiBear55
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*17-x
CalebBeavers
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yep, now take 17-x and plug that in for y in the other equation
ashlynn143
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i got to go sorry
AGummiBear55
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@ashlynn143 it's okay. (:
AGummiBear55
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What do you mean? like: 53.50x+47.25(17-x)=859.50 ???
CalebBeavers
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Yes, now solve for x
AGummiBear55
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How do I solve for x?
CalebBeavers
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Algebra...just solve like normal theres only one variable now
AGummiBear55
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yeah, but it's 17-x ... gah!! I'm confused. :(
CalebBeavers
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Do you know how to solve an equation?
AGummiBear55
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Yeah, but it's just confusing because there are no real numbers... like 17-x throws me off and gets me all confused.
AGummiBear55
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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. :( :(
CalebBeavers
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Distribute the 47.25 into the parentheses first
AGummiBear55
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oh... okay, so... 53.50x + 803.25 + x = 859.50
??? right? What next? (:
CalebBeavers
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You didnt multiply the x..
53.50x+803.25-47.25x=859.50
AGummiBear55
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ohh... okay. duh. Alright. so 53.50x + 803.25 - 47.25x = 859.50.. now what?
CalebBeavers
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combine like terms and subtract 803.25 from both sides
AGummiBear55
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okay... so I get 57.
AGummiBear55
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Now what?
CalebBeavers
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thats not right
AGummiBear55
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What? :(
53.50x + 503.25 = 859.50
6.25x + 503.25= 859.50
-503.25
6.25= 356.25
+6.25
= 57
CalebBeavers
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6.25x=56.25
x=56.25/6.25
AGummiBear55
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9? ?
AGummiBear55
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(: YOU ARE AMAZING!! THANKS SO MUCH!!!! :D