anonymous
  • anonymous
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
Mathematics
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anonymous
  • anonymous
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
Mathematics
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
my answer was $50, am i right?
anonymous
  • 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
  • anonymous
can you check 2 more questions for me?

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anonymous
  • anonymous
sure

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