Percentage problem 5 by Dhaval Furia
In a class, of the students are girls and the rest are boys. There are more girls than boys. If of the students, including boys, pass an examination, what is the percentage of the girls who do not pass?
The answer is 20.
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1 solution
Let G be the number of girls in the class and B be the number of boys in the class. We have G = B + 30 and G = .6*(G+B). Solving this system yields G = 90 and B = 60. Therefore, the total number of kids in the class is 90 + 60 = 150. 68% pass, meaning 102 pass. We are told 30 of the 102 passing are boys. Hence, 72 girls pass and 90-72 = 18 do not. Therefore, the percentage of girls who do not pass is 18/90 = 20%.