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# Of the people who responded to a market survey, 120 preferred Brand X

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Of the people who responded to a market survey, 120 preferred Brand X [#permalink]
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NYCgirl15 wrote:
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 ratio of 3 to 1, how many people responded to the survey?

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

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Originally posted by KarishmaB on 15 Apr 2015, 01:59.
Last edited by KarishmaB on 17 Oct 2022, 01:54, edited 1 time in total.
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Of the people who responded to a market survey, 120 preferred Brand X [#permalink]
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NYCgirl15 wrote:
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 ratio of 3 to 1, how many people responded to the survey?

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

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

Cheers,
Brent

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Originally posted by BrentGMATPrepNow on 15 Sep 2019, 05:56.
Last edited by BrentGMATPrepNow on 24 Mar 2021, 06:21, edited 1 time in total.
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Re: Of the people who responded to a market survey, 120 preferred Brand X [#permalink]
NYCgirl15 wrote:
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 ratio of 3 to 1, how many people responded to the survey?

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

We can let x = the number of people who prefer Brand Y and 3x = the number of people who prefer Brand X. We can create the equation:

3x = 120

x = 40

Therefore, a total of 40 + 120 = 160 people were surveyed.

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Re: Of the people who responded to a market survey, 120 preferred Brand X [#permalink]
Total: X + Y

Total: 120 + Y

X: Y = 3:1 [120 : ?]= [40*3] = 3:1.Hence, Y = 40

Total: 120 + 40 = 160

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Re: Of the people who responded to a market survey, 120 preferred Brand X [#permalink]
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Re: Of the people who responded to a market survey, 120 preferred Brand X [#permalink]
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