After the advance-purchase deadline passes, the cost of attending a particular event is $99, which is 10% more than before. What is the advance-purchase price?

Respuesta :

The advance purchase price is $90.

Step-by-step explanation:

Ticket price after deadline = $99

Let,

x represents the advance-purchase price.

Suppose that the advance purchase price is 100%.

As 10% increases, the amount becomes;

(100+10)% = 110%

The amount after deadline is 110% of advance purchase price.

110% of x = 99

[tex]\frac{110}{100}*x=99\\1.1x=99[/tex]

Dividing both sides by 1.1

[tex]\frac{1.1x}{1.1}=\frac{99}{1.1}\\x=90[/tex]

The advance purchase price is $90.

Keywords: percentage, addition

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Answer:

$90

Step-by-step explanation:

Assumed the original price of the advance-purchase is x.

After the deadline, price increased by 10%:

increase = 0.1x

Price = x + 0.1x = 1.1x

Now we know:

Price after increased = 1.1x

Price after increased = $99

Therefore,

1.1x = $99

x = $90