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

Answer:

300

Step-by-step 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

$\frac{60}{100}=\frac{x}{500}$

$\frac{60}{100} \times 500=x$

$300=x$

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