The population of a certain country X is 120,108,000 and its land area is 2,998,000 square kilometers. The population of another country Y is 200,323,000 and its land area is 7,899,000 square kilometers. The population density is defined as the population per square kilometer of land area. The population density of country X is approximately what percent greater or lesser than that of country Y?
(A) 60%
(B) 50%
(C) 45%
(D) 37%
(E) 15%
What is the best solution in this?
OA A
The population of a certain country X
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Density of X = (population)/(square kilometers) = (120,108,000)/(2,998,000) ≈ (120,000,000)/(3,000,000) = 120/3 = 40.lheiannie07 wrote:The population of a certain country X is 120,108,000 and its land area is 2,998,000 square kilometers. The population of another country Y is 200,323,000 and its land area is 7,899,000 square kilometers. The population density is defined as the population per square kilometer of land area. The population density of country X is approximately what percent greater or lesser than that of country Y?
(A) 60%
(B) 50%
(C) 45%
(D) 37%
(E) 15%
Density of Y = (population)/(square kilometers) = (200,323,00)/(7,899,000) ≈ (200,000,000)/(8,000,000) = 200/8 = 25.
The population density of country X is approximately what percent greater or lesser than that of country Y?
Percent increase from Y to X = Difference/Smaller * 100 = (40-25)/25 * 100 = 15 * 4 = 60.
The correct answer is A.
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To simplify the numbers, let's round each number to number of millions.lheiannie07 wrote:The population of a certain country X is 120,108,000 and its land area is 2,998,000 square kilometers. The population of another country Y is 200,323,000 and its land area is 7,899,000 square kilometers. The population density is defined as the population per square kilometer of land area. The population density of country X is approximately what percent greater or lesser than that of country Y?
(A) 60%
(B) 50%
(C) 45%
(D) 37%
(E) 15%
Thus, the population density of country X is about 120/3 = 40.
The population density of country Y is about 200/8 = 25.
Now we can use the percent change formula:
(40 - 25)/25 x 100%
15/25 x 100% = (15 x 4)% = 60 %
Answer: A
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