Question

The price of a movie ticket after a 16% increase is $8.99. What was the price before increase?

Answer 1

$7.75

Explanation:

When a number is increased by a certain percentage, it means that the product of the percentage and the number is added to the number. The result is the increase of the original number by the given percentage.

As such, if the original number is x and it is increased by 16%, to get $8.99, this may be expressed mathematically as

16% * x + x = 8.99

1.16x = 8.99

x = 8.99/1.16

= $7.75

The price before the increase was $7.75

Answer 2

The price before the increase was $7.75.

Explanation:

This question can be solved using a rule of three.

The price of a movie ticket after a 16% increase is $8.99.

This means that the current price, of $8.99, is 100+16 = 116% = 1.16 of the original

x, the original price, is 100% = 1. So

8.99 - 1.16

x - 1

`1.16x = 8.99`

`x = (8.99)/(1.16)`

`x = 7.75`

The price before the increase was $7.75