Question

Out of 124 respondents to a survey, 73.4% were juniors, and 11 seniors responded. Approximately 61.1% of the juniors preferred vanilla, 10 sophomores preferred chocolate, and 61.3% of all respondents preferred vanilla. How many sophomores responded to the survey?

a) 6
b) 8
c) 10
d) 12

Answer 1

To find the number of sophomores who responded to the survey, subtract the number of juniors and seniors from the total number of respondents. Approximately 113 sophomores responded to the survey.

Step-by-step explanation:

To find the number of sophomores who responded to the survey, we need to subtract the number of juniors and seniors from the total number of respondents. First, we find the number of juniors by multiplying the percentage (73.4%) with the total number of respondents (124).

Juniors = 0.734 x 124 = 91.016

Next, we subtract the number of seniors (11) from the total number of respondents (124) to find the number of sophomores.

Sophomores = 124 - 11 = 113

So, approximately 113 sophomores responded to the survey.