Question

an ice cream company did a survey among high school students. it was found that 86 students liked vanilla ice cream and 48 of those students liked chocolate ice cream also. there were 12 students who did not like vanilla ice cream but liked chocolate ice cream. there were 2 students who did not like either vanilla ice cream or chocolate ice cream. using a two-way table, predict the number of students who would like chocolate ice cream when 500 high school students participate in the survey. 250 300 350 400

Answer 1

300

Explanation:

Students like Vanilla ice cream = 86

Out of 86 Students like chocolate ice cream too = 48

So, No. of students who like only vanilla=86-48 = 38

There were 12 students who did not like vanilla ice cream but liked chocolate ice cream.

There were 2 students who did not like either vanilla ice cream or chocolate ice

Like Vanilla Did not like vanilla Total

Like Chocolate 48 12 60

Did not like chocolate 38 2 40

Total 86 14 100

No. of students who like chocolate out of 100 = 60

Now we are supposed to find the number of students who would like chocolate ice cream when 500 high school students participate in the survey.

Let x be the number of students out of 500 who like chocolate

So, A.T.Q

`(60)/(100)=(x)/(500)`

`(60)/(100) * 500=x`

`300=x`

Hence the number of students who would like chocolate ice cream when 500 high school students participate in the survey is 300.