Quandaries and Queries

Name: Jose

Who is asking: Other Level: Middle

You have two groups:

Group A has 10 people and 2 are Chinese
Group B has 12 people and 3 are Chinese

In terms of percentages what is the difference in Chinese between the two groups? In other words which group has the biggest percentage of Chinese and why?

Hi Jose,

A percentage is a fraction where the denominator is 100. The fraction of Chinese in Group A is 2/10. To find an equivalent fraction with a denomiator of 100, multiply the numerator and denominator by 10 to get

 2/10(2 10)/(10 10)20/100 and thus 20% of the Group A is Chinese.

For Group B, the fraction which is Chinese is 3/12 = 1/4. Express this with a denominator of 100 and compare the two percentages.


Go to Math Central