Question

The population of a small beach town on Australia’s east coast grows by 50% from May 1 to June 1 and then grows by another 50% from June 1 to July 1. The population then decreases by 11.11% from July 1 to August 1. By approximately what percentage has the population grown from May 1 to August 1?

Answer 1

Answer:

100%

Explanation:

Let the population in May = 2x

The population increases by 50 % which means that total become 150 % of the previous.

So, population in June = $\frac{150}{100}\times 2x=3x$

The population increases by 50 % which means that total become 150 % of the previous.

So, population in July = $\frac{150}{100}\times 3x=4.5x$

The population decreases by 11.11% which means that total become 88.89 % of the previous.

So, population in August = $\frac{88.89}{100}\times 4.5x=4x$

Change in population from may to aug = 2x

This is 100% of the original.