International Tourist Arrivals , in millions

The table above shows the number of international tourist arrivals, rounded to the nearest tenth of a million, to the top nine tourist destinations in both 2012 and 2013 .
The number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011. The number of international tourist arrivals in Russia was k million more in 2012 than in 2011. What is the value of k to the nearest integer ?

Answer

3

Explanation

Let y be the number of international tourist arrivals in Russia in 2012, and let x be the number of these arrivals in 2011. It’s given that y is 13.5% greater than x, or y = 1.135x. The table gives that y = 24.7, so 24.7 = 1.135x. Dividing both sides of this equation by 1.135 yields `(24.7)/(1.135)=x` , or x `approx` 21.8 million arrivals. The difference in the number of tourist arrivals between these two years is 24.7 million − 21.8 million = 2.9 million. Therefore, the value of k is 3 when rounded to the nearest integer.