Of the people who responded to a market survey, 120

BTGmoderatorLU wrote:Source: GMAT Paper Tests

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

The OA is B

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

BTGmoderatorLU wrote:Source: GMAT Paper Tests

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

The OA is B

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.

Answer: B