Solve the followings using a Venn diagram.
1. An animal lover surveys 30 people in an exclusive subdivision. He found out that:
20 have dogs 15 have cats 10 have both cats and dogs.

a. How many people have dogs only?
b. How many people have cats only?
c. How many people do not have either?

2. In a survey of 20 students in a class:
9 like buko juice 14 like mango juice 6 like both

a. How many students like buko juice or mango juice?
b. How many students like mango juice but not buko juice?
c. How many students did not like either?

3. Ninety coffee drinkers were asked whether they used cream or sugar in their coffee. The summary of the survey was as follows:
59 use sugar 42 use cream 19 use both

a. How many used sugar but not cream?
b. How many used cream but not sugar?
c. How many used cream or sugar?

4. In a survey of 70 people, James found that:
40 people liked product X
37 liked product Y
38 liked product Z
25 people liked both products X and Y
21 people liked products X and Z
19 people liked product Y and Z
8 liked all the three products

a. How many liked product X or Y?
b. How many liked products both X and Y, but not Z?
c. How many did not like any of the three products?

5. In a group of 50 kids:
24 play patintero
15 play piko
21 play taguan
9 play patintero and piko
7 play taguan and piko
6 play patintero and taguan
3 kids play all three

a. How many play piko only?
b. How many play patintero but not taguan?
c. How many play patintero and taguan but not piko?
d. How many do not play any of the three?

6. At a lunch buffet, 95 people chose smoothie, and 45 people chose juice. 25 people chose both smoothie and juice. If each person chose at least one of these beverages, how many people visited the buffet?

7. In a class of 40 students, 21 are studying Nihongo, 14 are studying Korean and 5 are studying both Nihingo and Korean. How many students are not taking any foreign languages?

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nonsense - report​

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