Question

Olivia bought a plane ticket to New York City and used a coupon for 5% off the ticket price. The total cost of her ticket, with the discount, was $246.50. Write an equation to find the price of the ticket without the discount.

Answer 1

The original price of Olivia's plane ticket before the 5% discount was calculated using a simple equation, resulting in $260.

Step-by-step explanation:

To find the original price of Olivia's ticket before the 5% discount, we set up an equation where 95% of the original price equals $246.50. Let P represent the original price of the ticket. Since a 5% discount was applied, Olivia paid only 95% of the original price, which we express as 0.95P.

The equation is:

0.95P = $246.50

To find the value of P, we divide both sides by 0.95:

P = $246.50 / 0.95

After doing the calculation, we find the original price of the ticket.

Olivia's ticket originally cost $260 before the 5% discount was applied.