Question

Jonathan has 1/3 as many green marbles as he has red marbles and 1/6 as many red marbles as he has yellow marbles.What part of his collection is made up of yellow marbles?

Answer 1

let the number of red marbles be x
number of green marbles = (1/3)x = x/3
yellow marbles = 6x

red : green : yellow = x : x/3 : 6x
= 3x : x : 18x

for a total of 24x

so yellows would be 18x/24x = 3/4 of his collection

Answer 2

1. 9/11
2. 1/6
3. 2/11
4. 3/22
5. 1/22

Answer 3

G= (1/3) R , R = (1/6 ) Y , Y = 6R
suppose total Marbels = G + R + Y = X
Part of Y = Y/X = Y/ (G + R + Y) = 6R / (R/3 + R + 6R)
= 18 R/ 22 R = 9/11