HEYyy i need help real quick pleaseee??? ill mark a brainliest


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 Sandlers paid a total of $78 for 1 adult ticket and 2 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:

78 = one half x + (x − 6)

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


A) $50
B) $56 <---- i know that this is not the answer
C) $75
D) $81

Respuesta :

We use the equation to solve for x:

78 = 0.5x + (x - 6)

78 = 1.5x - 6

1.5x = 84

x = 56

But 56 is the regular price of an adult, so subtract 6 to get $50, the regular price of a child. The answer is (A).

The equation is close! But it need a little alter, as there are 2 child’s tickets.

The equation would be:
78 = 1/2 (x+2(x-6))
78×2 = (x+ 2x - 12)
156 = 3x-12
156+12 =3x
x = 168/3
x=56

As $56 is the price of an ticket for adult,the price of a child’s ticket would be:
56-6
=$50

Therefore the answer is A.$50

Hope it helps!