Customers who purchase museum tickets in advance receive 10% off the regular admission price. Anias paid a sale price of $54. He wants to know the regular price of a ticket

Answer:Regular price of a ticket = $60Step-by-step explanation:Given:On purchasing museum tickets in advance customers get 10% off on the regular price of ticket.Anias paid the sale price of ticket = $54To find the regular price of ticket.Solution:Let the regular price of ticket in dollars be [tex]=x[/tex] Discount offered for booking in advance = 10%Discount amount in dollars = [tex]Discount\ percent \times Regular\ price=10% \times x =0.10 \times x =0.1x[/tex]Sale price of a ticket in dollars= Regular price - Discount amount= [tex]x-0.1x=0.9x[/tex]Sale price given for a ticket = $54So, we have:[tex]0.9x=54[/tex]Dividing both sides by 0.9[tex]\frac{0.9x}{0.9}=\frac{54}{0.9}[/tex]∴ [tex]x=60[/tex]∴ Regular price of a ticket = $60