This year, Alana and her sister paid $114 each for their annual trip to see 'The Nutcracker' at the Centerville Ballet. That is 20% more expensive than the cost of each ticket last year. What was last year's ticket price?$____
Q. This year, Alana and her sister paid $114 each for their annual trip to see 'The Nutcracker' at the Centerville Ballet. That is 20% more expensive than the cost of each ticket last year. What was last year's ticket price?$____
Calculate original price: Calculate the original price before the 20% increase. Let x be the price of the ticket last year. Since this year's price is 20% more, the equation is x+0.2x=114.
Simplify equation: Simplify the equation to find x. Combine like terms: 1.2x=114.
Solve for x: Solve for x by dividing both sides by 1.2: x=1.2114.
Perform division: Perform the division to find the value of x: x=95.
More problems from Percent of change: find the original amount word problems