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

Respuesta :

Answer:

Regular price of a ticket = $60

Step-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 = $54

To 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 = $54

So, 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

Answer:

the sale price is 90% of the regular price

Step-by-step explanation:

60 is the regular price so 54 is 90% of 60.

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