A research based on 150 students relating to their favorite fruit revealed the
following: 90 students preferred Apples; 75 preferred Bananas; and 55 preferred Strawberries; 30 of them
preferred Bananas and Strawberries; 15 preferred Apples and Strawberries; 15 preferred Bananas only; 20 preferred Strawberries only.
2.1 Draw a Venn diagram to illustrate this information.
2.2 How many preferred bananas and apples but not strawberries?
2.3 How many preferred Bananas or apples but not strawberries?
2.4 What is the ratio of the number of students who preferred only Bananas to those who preferred both apples and strawberries?
2.5 What is the ratio of the number of students who preferred only Bananas to only Strawberries to only apples?
2.6 How many preferred apples only?
2.7 How many preferred all three fruits?
2.8 Which is the greater number: those who preferred both apples and strawberries, OR those who preferred both strawberries and bananas. By what percent is it greater?
2.9 In order to gain more insight on the student preferences, twenty one (21) students from another school were asked about their favorite fruits. Three of them did not like any of the three fruits. Six of them preferred both apples and strawberries. eight of them preferred both strawberries and bananas. Four of them preferred all three fruits. Only one student preferred strawberries only. Another student preferred bananas only.
(a) How many of the twenty one students preferred apples only? Give reasons
(b) From the total of one hundred and seventy one (171) students from both schools what is the number of students who do not like any of the three fruits?
3 answers