During a certain year, 80 percent of the visitors to the Smithsonian

Question

﻿During a certain year, 80 percent of the visitors to the Smithsonian Institution were United States citizens, 50 percent of the remaining visitors were Canadian or Mexican citizens, and 50 percent of the visitors who were not citizens of the United States, Canada, or Mexico were citizens of European countries. The number of United States citizens who visited the Smithsonian that year was approximately how many times the number of citizens of European countries who visited the Smithsonian that year?

A. 1.6
B. 4.8
C. 8
D. 16
E. 32

gmatophobia · Accepted Answer

We can use a tree to plot the information.

Let's assume that the number of visitors = 100

...80 percent of the visitors to the Smithsonian Institution were United States citizens...

Number of US Citizens = 80% of 100 = 80

Remaining = 100 - 80 = 20

...50 percent of the remaining visitors were Canadian or Mexican citizens...

Number of Canadian or Mexicans = 50% of 20 = 10

Remaining = 20 - 10 = 10

...50 percent of the visitors who were not citizens of the United States, Canada, or Mexico were citizens of European countries..

Number of Europeans = 50% of 10 = 05

Required Ratio=  \frac{80}{05} = 16

Option D

JeffTargetTestPrep · Answer

Total = US + Canada & Mexico + Europe + Others

Total = 100
US = 80
Canada & Mexico = (1/2)(100 – 80) = 10
Europe = (1/2)(100 – 80 – 10) = 5

To answer the question, we need the determine the following ratio:

US/Europe = 80/5 = 16

Answer: D

MartyMurray · Answer

Let's let the total number of visitors equal V.

﻿80 percent of the visitors to the Smithsonian Institution were United States citizens

United States citizens = .80V

50 percent of the remaining visitors were Canadian or Mexican citizens

Remaining visitors = V - .80V = .20V

Canadian or Mexican citizens = .50 x .20V = .10V

50 percent of the visitors who were not citizens of the United States, Canada, or Mexico were citizens of European countries

Visitors who were not citizens of the United States, Canada, or Mexico = .20V - .10V = .10V

Citizens of European countries = .50 x.10V = .05V

The number of United States citizens who visited the Smithsonian that year was approximately how many times the number of citizens of European countries who visited the Smithsonian that year?

United States citizens/Citizens of European countries = .80V/.05V = 16

The correct answer is (D).

Paras96 · Answer

﻿During a certain year, 80 percent of the visitors to the Smithsonian Institution were United States citizens, 50 percent of the remaining visitors were Canadian or Mexican citizens, and 50 percent of the visitors who were not citizens of the United States, Canada, or Mexico were citizens of European countries. The number of United States citizens who visited the Smithsonian that year was approximately how many times the number of citizens of European countries who visited the Smithsonian that year?

Let the no. of visitors to the Smithsonian Institution = 100.
The no. of visitors to the Smithsonian Institution who were United States citizens = 80
The no. of visitors to the Smithsonian Institution who were Canadian or Mexican citizens = 50%x(100-80)=10
The no. of visitors to the Smithsonian Institution who were citizens of European countries = 50%x(100-80-10)=5

The number of United States citizens who visited the Smithsonian that year was approximately the number of citizens of European countries who visited the Smithsonian that year = 80/5 = 16

Hence D

Apk641 · Answer

Lets use simple numbers to better understand

Total Visitors= 100
US visitors= 80
Canada & Mexico= .5*20=10  20 represents the remainder  
Total not US, Canada & Mexico =10
European 10*.05=5

US/European = 80/5
=16

geovanni · Answer

Assume there were 100 total visitors to the Smithsonian.
- 80% of these were US citizens, so 80 visitors were US citizens.
- The remaining 20% were not US citizens.
- 50% of the remaining 20% were Canadian or Mexican, so 10 visitors were Canadian or Mexican.
- The other 50% of the remaining 20% were not US, Canadian, or Mexican, so 10 visitors were not US, Canadian, or Mexican.
- 50% of these 10 visitors were citizens of European countries, so 5 visitors were citizens of European countries.
Therefore, the number of US citizens who visited was 80, and the number of citizens of European countries who visited was 5.
=> the number of US citizens was approximately 80/5 = 16 times the number of citizens of European countries.

bumpbot · Answer

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During a certain year, 80 percent of the visitors to the Smithsonian

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During a certain year, 80 percent of the visitors to the Smithsonian

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