Question

I will Medal and Fan, please help me
I need help working, i dont want the answer
The regular price of a child's entry ticket to a water park is $9 less than that for an adult's. The park offers half off all entry tickets during the off-peak season. The Sandlers paid a total of $132 for 1 adult ticket and 4 child's tickets 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:

132 = one-halfx + 2(x − 9)

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

$60
$57
$51
$42

Answer 1

So we have to solve for x, because that is the regular price.
The first thing you should do is distribute the 2

132 = .5x + 2x - 18

Answer 2

ok

Answer 3

Now let's combine like terms. What did you get?

Answer 4

2.5x?? by combining 2 and .5, since they are both being multiplied by x

Answer 5

Yup. And we can add 18 to both sides

The equation now looks like this:

150 = 2.5x

Answer 6

So to isolate x, we divide by 2.5 on both sides

Answer 7

ok so 60?

Answer 8

Yeah!

Answer 9

oh then we would subtract 9, since it is 9 dollars more

Answer 10

Yes because, x=60 is the adults price

but the question is asking about child's price

Answer 11

ok... the childs price isnt in the equation, right?

Answer 12

Yup. You have to subtract 9 to get the child's because x is represented as the adult's ticket

Answer 13

ok ,so 51?

Answer 14

Mhm