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question

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
Expert replies
by sukh » Mon Sep 05, 2011 5:17 am
A research study determined that, of 350 households surveyed,
115 used neither Brand A or Brand B toothpaste, 85 used only
Brand A toothpaste, and for every 3 households that used only
Brand B toothpaste, 2 households used both brands of
toothpaste. How many of the 350 households surveyed used
only Brand B toothpaste?
(A 50
(B) 60
(C) 75
(D) 90
(E) 100

T = G1 + G2 - B + N
350 = 85 + 3x - 2x + 115
Answer wrong ?
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Source: — Quantitative Reasoning |

by cans » Mon Sep 05, 2011 5:28 am
let 3x use only B. then 2x use both.
thus only A + only B + Both + None = 350 -> 85+3x+2x+115 = 350 -> x=30 or 3x=90
IMO D
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