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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?
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
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 :)
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