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This year, Alana and her sister paid $114\$114 each for their annual trip to see 'The Nutcracker' at the Centerville Ballet. That is 20%20\% more expensive than the cost of each ticket last year. What was last year's ticket price?\newline$\$____

Full solution

Q. This year, Alana and her sister paid $114\$114 each for their annual trip to see 'The Nutcracker' at the Centerville Ballet. That is 20%20\% more expensive than the cost of each ticket last year. What was last year's ticket price?\newline$\$____
  1. Calculate original price: Calculate the original price before the 2020% increase. Let xx be the price of the ticket last year. Since this year's price is 2020% more, the equation is x+0.2x=114x + 0.2x = 114.
  2. Simplify equation: Simplify the equation to find xx. Combine like terms: 1.2x=1141.2x = 114.
  3. Solve for x: Solve for x by dividing both sides by 1.21.2: x=1141.2.x = \frac{114}{1.2}.
  4. Perform division: Perform the division to find the value of xx: x=95x = 95.

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