lheiannie07 wrote:What percent of a group of people are women with red hair?
(1) Of the women in the group, 5 percent have red hair.
(2) Of the men in the group, 10 percent have red hair.
Statements combined:
Case 1: 20 women and 80 men, for a total of 100 people
Since 5% of the women have red hair, the number of women with red hair = (5/100)(20) = 1.
Since 10% of the men have red hair, the number of men with red hair = (10/100)(80) = 8.
What percent of a group of people are women with red hair?
(women with red hair)/(total group) = 1/100 = 1%.
Case 2: 80 women and 20 men, for a total of 100 people
Since 5% of the women have red hair, the number of women with red hair = (5/100)(80) = 4.
Since 10% of the men have red hair, the number of men with red hair = (10/100)(20) = 2.
What percent of a group of people are women with red hair?
(women with red hair)/(total group) = 5/100 = 5%.
Since different percentages are possible, the two statements combined are INSUFFICIENT.
The correct answer is
E.
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