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Of the people who responded to a market survey, \(120\) preferred Brand \(X\) and the rest preferred Brand \(Y.\) If the

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by Gmat_mission » Tue Mar 23, 2021 8:04 am

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Difficulty—

Of the people who responded to a market survey, \(120\) preferred Brand \(X\) and the rest preferred Brand \(Y.\) If the respondents indicated a preference for Brand \(X\) over Brand \(Y\) by the ratio of \(3\) to \(1,\) how many people responded to the survey?

A. 80
B. 160
C. 240
D. 360
E. 480

Answer: B

Source: GMAT Paper Tests
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Re: Of the people who responded to a market survey, \(120\) preferred Brand \(X\) and the rest preferred Brand \(Y.\) If

by Brent@GMATPrepNow » Wed Mar 24, 2021 5:58 am
Gmat_mission wrote: ↑
Tue Mar 23, 2021 8:04 am
 Of the people who responded to a market survey, \(120\) preferred Brand \(X\) and the rest preferred Brand \(Y.\) If the respondents indicated a preference for Brand \(X\) over Brand \(Y\) by the ratio of \(3\) to \(1,\) how many people responded to the survey?

A. 80
B. 160
C. 240
D. 360
E. 480

Answer: B

Source: GMAT Paper Tests
We can solve this question by using equivalent ratios

We'll use the ratio: preferred Brand X/preferred Brand Y
Given: 120 preferred Brand X
Let y = the number of people who preferred Brand Y

We get: 120/y = 3/1
Cross multiply to get: 3y = 120
Solve: y = 40

So, 120 people preferred Brand X, and 40 people preferred Brand Y
TOTAL number of people = 120 + 40 = 160

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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