Question

In​ 2006, the population of the country was 30.4 million. This represented an increase in population of 7.6 % since 2001. What was the population of the country in​ 2001? Round to the nearest hundredth of a million.

Answer 1

28.25 million

Explanation:

Population of the country:

• in 2001 - x million
• in 2006 - 30.4 million

Population of the country as percent:

• in 2001 - 100%
• in 2006 - 100% + 7.6% = 107.6%

Write a proportion:

`(x)/(30.4)=(100)/(107.6)`

Cross multiply:

`107.6\cdot x=30.4\cdot 100`

Divide by 107.6:

`x=(30.4\cdot 100)/(107.6)=(3,040)/(107.6)\approx 28.25`