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

Answer:

28.25 million

Step-by-step 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:

$\dfrac{x}{30.4}=\dfrac{100}{107.6}$

Cross multiply:

$107.6\cdot x=30.4\cdot 100$

Divide by 107.6:

$x=\dfrac{30.4\cdot 100}{107.6}=\dfrac{3,040}{107.6}\approx 28.25$