Final answer:
To find the regular price of a discounted museum ticket with a sale price of $54 and a 10% discount, divide the sale price by 0.90. This relates the sale price as 90% of the regular price.
Step-by-step explanation:
The question concerns the relationship between the sale price and the regular price of a museum ticket when a discount is applied. If customers receive a 10% discount on the regular price for purchasing tickets in advance, and the sale price is $54, we need to express the sale price as a percentage of the regular price.
The formula for the sale price, given a discount, is:
Sale price = Regular price - (Discount percentage × Regular price)
Here, the sale price ($54) is equal to 90% of the Regular price (since 100% - 10% discount = 90%), which means:
$54 = 0.90 × Regular price
To find the regular price, you divide the sale price by 0.90:
Regular price = $54 / 0.90
Calculating this gives us the regular price of the ticket.