Question

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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Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

oh

Answer 5

ok i will try no promises

Answer 6

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

Answer 7

Call kids x and adults y

so x+y=17 since 17 people went

now try to make one for the cost

Answer 8

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

Answer 9

17 people went

Answer 10

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

Answer 11

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

Answer 12

@CalebBeavers ^^^^^

Answer 13

$53.50x + 47.25y = 859.50 ???

Answer 14

Okay, adults can be x. thats right

so now we have a system of equations

x+y=17
53.50x+47.25y=859.50

Answer 15

ok so now what do we do

Answer 16

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

Answer 17

because we dont know the number of kids

Answer 18

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

Answer 19

Solve for y in the first equation

Answer 20

i will try

Answer 21

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

Answer 22

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

Answer 23

okay, so... 47.25y=859.50-53.50x

do I have that right so far or am I doing it wrong?

Answer 24

Solve for it in the first equation

x+y=17

itll be much easier

Answer 25

okay so... y=17+x

... is that right so far?

Answer 26

*17-x

Answer 27

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

Answer 28

i got to go sorry

Answer 29

@ashlynn143 it's okay. (:

Answer 30

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

Answer 31

Yes, now solve for x

Answer 32

How do I solve for x?

Answer 33

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

Answer 34

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

Answer 35

Do you know how to solve an equation?

Answer 36

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

Answer 37

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. :( :(

Answer 38

Distribute the 47.25 into the parentheses first

Answer 39

oh... okay, so... 53.50x + 803.25 + x = 859.50

??? right? What next? (:

Answer 40

You didnt multiply the x..

53.50x+803.25-47.25x=859.50

Answer 41

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

Answer 42

combine like terms and subtract 803.25 from both sides

Answer 43

okay... so I get 57.

Answer 44

Now what?

Answer 45

thats not right

Answer 46

What? :(

53.50x + 503.25 = 859.50
6.25x + 503.25= 859.50
-503.25
6.25= 356.25
+6.25
= 57

Answer 47

6.25x=56.25
x=56.25/6.25

Answer 48

9? ?

Answer 49

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