Question

The regular price of a child's entry ticket to a water park is $6 less than that for an adult's. The park offers half off all entry tickets during the off-peak season. The Jordans paid a total of $69 for 2 adult tickets and 1 child's ticket to the water park during the off-peak season. The following equation represents this situation, where x represents the regular price of an adult ticket. :

69 = x + one-half(x - 6)

What is the regular price of a child's ticket?

$38
$42
$48
$66

Answer 1

so Sami, you got 3 over 2 somehow and the 6 became a 3...

Answer 2

OK, so instead of doing what I said before, we can making the problem like this,

69 = \(x+\dfrac{x-6}{2}\)

Because 1/2(x-6) is saying find a half (divide by 2) of x-6

Answer 3

This way is easier

Answer 4

Understand =)

Answer 5

yep

Answer 6

OK, so now we have to multiply 2 on both sides, since we are originally dividing by 2, so we have

69 x 2 = \(x+\dfrac{x-6}{2}\times2\)

Now, multiplying 2 on the RIGHT side of the equation turns x to 2x, since you are multiplying it by 2, and cancels out the fraction, so we have

69 x 2 = \(2x+x-6\)

Now we need to solve 69*2, which is what?

Answer 7

138

Answer 8

then subtract 6 and divide by 2? X/

Answer 9

I have no Idea X(

Answer 10

Good, so we have

138 = \(2x+x-6\)

Now, we need to combine the like terms 2x and x to get 3x (because you are adding in the extra x), so we have

138 = \(3x-6\)

Do you know how to solve this?

Answer 11

I think so, is the answer 44?

Answer 12

I divide by 3?

Answer 13

Close, but no :(

You have to first add 6 on both sides, since you are originally subtracting. You have to do the oppisite

138 + 6 = \(3x-6 + 6\)

138 + 6 = \(3x\)

Answer 14

So you need to add that, then divide it by 3 =)

Answer 15

Oh right, the opposite...

Answer 16

Yep =)

Answer 17

48?

Answer 18

Yes! Now we know the adult price. Now do you know how to find the child price from here?

Answer 19

subtract 6

Answer 20

Mhm, and that is your answer

Answer 21

i believe..

Answer 22

Thank you so much Sami, my good and faithful serv......helper XD

Answer 23

=.=

Answer 24

<3 No problem