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 = 1 over 2x + (x − 6)
What is the regular price of a child's ticket?
$50 $56 $75 $81

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- anonymous

my answer was $50, am i right?

- anonymous

Regularly: c = a-6 and a = a
But this is during the off-peak season, so everything is half off:
c = (a-6)/2 and a = a/2
So the equation for off-peak is:
78 = (a/2) + 2((a-6)/2) {the two 2s on the right side of the plus sign will cancel each other out}
78 = (a/2) + (a - 6)
Remove parentheses through distributing and then add 6 to both sides:
84 = a/2 + a
84 = a(1/2 + 1)
84 = a(1.5)
Divide both sides by 1.5
a = 56 which is the adult ticket price.
Subtract 6 from that to get the child's ticket price: $50.
So yeah your right

- anonymous

can you check 2 more questions for me?

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sure

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