Aconfectionary company did a survey among students. it was found that 80 students liked pastries and 30 of those students liked candies also. there were 15 students who did not like pastries but liked candies. there were 5 students who did not like either pastries or candies.

using a two-way table, predict the number of students who would like candies when 200 students participate in the survey.

45

50

90

95

The question is to find how many students like candies and not how many like only candies! Total number of students in first survey was 80+15+5=100 (there isn't "+30" because they are counted in 80 because of the text).

Since total number of students in second survey would be 200 we need to double number of students who like candies in first survey to get our answer.

Number of students who like candies is:   30+15=45

Therefore in second survey there will be 45*2=90 students who like candies.