Question

Scott has 1/3 of the computer games as Anish, and Anish has 1/2 as many games as Nick. Together they have 140 games. How many do they have each?

Scott has......
Anish has......
Nick has......

Answer 1

let x = # of computer games nick has
then
Anish has 1/2x games
and
Scot has 1/2*1/3 = 1/6x games
thus
1/6x + 1/2x + x = 140
1/6x + 3/6x + x = 140
10/6x = 140
10x =140* 6
x = 84 > Nick
1/2x = 42 > Anish
1/6x = 14 > Scot

Answer 2

Scott = Anish ÷ 3 or 1/3 Anish
Anish = Nick ÷ 2 or 1/2 Nick
S + A + N = 140
1/6 N + 3/6 N + 6/6 N = 10/6 N (140)
10/6 N = (140)
140 ÷ 10 = 1/6 N (14) = Scott
9/6 N (126) - 3/6 (42 = Anish) = N = 84
S = 14
A = 42
N = 84

CHECK?

14 = 1/3 of 42
42 = 1/2 of 84
14 + 42 + 84 = 140 :)