Question

The cost of a plane ticket increases by 12%. After the increase, the ticket costs $616. What was the cost before the increase? Explain your answer using complete sentences.

Answer 1

The cost before increase was $550.

Step-by-step explanation:

Given,

Increased price of plane ticket = $616

Increase percent = 12%

Let,

x be the original price of ticket.

Now,

The original price is 100% and 12% is increased, therefore;

New price = (100+12)% = 112%

Thus;

$616 is 112% of x.

112% of x = 616

$\frac{112}{100}x=616\\1.12x=616$

Dividing both sides by 1.12

$\frac{1.12x}{1.12}=\frac{616}{1.12}\\x=550$

The cost before increase was $550.

Keywords: division, percentage

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