One half of the class got As. One third of the rest got Bs. One quarter of the remainder got Cs. One fifth of the others got Ds. What fraction of the class got Es or worse?

Question

i know the answer is 1/10 but idk how to get there!!

Answer 1

B 1/3 * 1/2 = 1/6, left is 2/3 * 1/2 = 1/3
C 1/4 * 1/3 = 1/12, left is 3/4 * 1/3 = 1/4
D 1/5 * 1/4 = 1/20, left is 4/5 * 1/4 = 1/5
I get 1/5

Answer 2

Check
used = 1/2 + 1/6 + 1/12 +1/20 = 9/12 + 1/20 = (45 +3)/60 = 48/60 = 4/5
yes1/5 left to fail

Answer 3

im confused because the answer sheet says 1/10

Answer 4

Well, Well we disagree with the answer sheet. It happens :)

Answer 5

That is why I went back up in reverse to check :)

Answer 6

ok thank you so much for your help!! :D