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If 55 percent of a group of people have brown hair and 80 percent of the same group do not have red hair, what fraction

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If 55 percent of a group of people have brown hair and 80 percent of the same group do not have red hair, what fraction

by VJesus12 » Fri Jul 24, 2020 7:15 am

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If 55 percent of a group of people have brown hair and 80 percent of the same group do not have red hair, what fraction of those who do not have brown hair have red hair?

A. 1/4

B. 4/11

C. 4/9

D. 5/9

E. 4/5

[spoiler]OA=C[/spoiler]

Source: Magoosh
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Re: If 55 percent of a group of people have brown hair and 80 percent of the same group do not have red hair, what fract

by sahilaro23 » Fri Jul 24, 2020 11:25 am
It becomes easier using a venn diagram.
C is the answer.
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Re: If 55 percent of a group of people have brown hair and 80 percent of the same group do not have red hair, what fract

by deloitte247 » Sun Jul 26, 2020 9:20 am
55% have brown hair, hence (100-55)% do not have brown hair.
80% do not have red hair, hence (100-80)% have red hair.

Target question=>What fraction of those who do not have brown hair to those who have red hair. $$\frac{people\ with\ red\ hair}{people\ without\ brown\ hair}=\frac{100-80}{100-55}=\frac{20}{45}$$ $$=\frac{4}{9}$$

Answer = option C
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