1. Problem Solving 1 In a survey of 200 students of Zobel High, 9 liked classical music, rock music, and light opera; 27 liked classical music and rock music; 33 liked rock music and light opera; 30 liked classical music and light opera; 72 liked classical music; 80 liked rock music; 93 liked light opera. Construct a Venn diagram Representation to organize the given data.

2. Answer U 36 2924 39 21 24 9 18 Rock Light Opera Classical Answer the following questions. 1)How many liked rock music only? 2)How many liked rock and classical but not light opera? Answer! Answer!

3. Answer U 36 2924 39 21 24 9 18 Rock Light Opera Classical Answer the following questions. 3) How many liked classical and light opera but not rock music? 4) How many liked rock or light opera? Answer! Answer! Sum is 140!

4. Answer U 36 2924 39 21 24 9 18 Rock Light Opera Classical Answer the following questions. 5) How many liked at least one type of music? 6) How many liked at least two types of music? Answer! Answer! Sum is 164! Sum is 72!

5. Problem Solving 2 In a survey of 90 students, the newspaper subscription preferences were: 13 students preferred Philippine Bulletin only only 20 students preferred Manila Inquirer only 25 students preferred Daily Star only 6 students preferred Phil. Bulletin & Manila Inquirer but not Daily Star 7 students preferred Phil. Bulletin & Daily Star but not Manila Inquirer Daily Star but not Manila Inquirer 4 students preferred Manila Inquirer & Daily Star but not Phil. Bulletin Daily Star but not Phil. Bulletin 60 students preferred Phil. Bulletin or Daily Star Daily Star

6. Problem Solving 2 Construct a Venn diagram representation to organize the given data. Then, answer the questions below. 1) How many students subscribed to all three periodicals? 2) How many students subscribed to at least one periodical? 3) How many students subscribed to Philippine Bulletin? 4) How many students did not subscribe to any of the three periodicals? 5) How many students subscribed to exactly 2 periodicals?

7. Problem Solving 3 Suppose I discover that my cat has a taste for the adorable little geckoes that live in the bushes and vines in my backyard. In one month, he deposits the following on my carpet: Five gray geckoes, eleven geckoes that had dropped their tails in an effort to escape capture, and fifteen geckoes that he’d chewed on a little. Only one of the geckoes was gray, chewed on, and tailless; two were gray and tailless; one was gray and chewed on but not tailless. The number of tailless geckoes but not chewed on nor gray was twice as many as tailless and chewed on but not gray geckoes. If there were a total of 24 geckoes left on my carpet that month, and all of the geckoes were at least one of “gray”, “tailless”, and “”chewed on”, how many were tailless and chewed on but not gray?Suppose I discover that my cat has a taste for the adorable little geckoes that live in the bushes and vines in my backyard. In one month, he deposits the following on my carpet: Five gray geckoes, eleven geckoes that had dropped their tails in an effort to escape capture, and fifteen geckoes that he’d chewed on a little. Only one of the geckoes was gray, chewed on, and tailless; two were gray and tailless; one was gray and chewed on but not tailless. The number of tailless geckoes but not chewed on nor gray was twice as many as tailless and chewed on but not gray geckoes. If there were a total of 24 geckoes left on my carpet that month, and all of the geckoes were at least one of “gray”, “tailless”, and “”chewed on”, how many were tailless and chewed on but not gray?

8. Answer U 26 10 3 1 1 1 gray Chewed on tailless Answer: 3 were tailless and chewed on but not gray!

9. Problem Solving 4 There are 208 students at Zobel High. The foreign language department offers French, German, and Spanish. 4 students take all three languages. 48 students study French. There are twice as many students who study both French and Spanish (but not German) as who study both French and German (but not Spanish), and four times as many as who study all three. 124 students study Spanish. 27 poor misguided souls do not study any foreign language. The group of students who study both French and Spanish (but not German) is exactly the same size as the group made up of students who study both German and Spanish.

10. Problem Solving 5 200 people were asked which of these grand slam tournaments that they have attended. The tournaments inquired about were: US Open, Wimbledon, or Australian Open. 30 people have not attended any of these tournaments. 10 people have been to all thee tournaments. 25 people have been to Wimbledon and the Australian Open. 20 people have been to the US Open and the Australian Open but not to Wimbledon. 65 people have been to exactly two of the tournaments. 165 people have been to the US Open or to Wimbledon. 120 people have been to Wimbledon or to the Australian Open.

11. Problem Solving 6 A chicken farmer surveyed his flock with the following results. The farmer had 9 fat red roosters; 2 fat red hens; 37 fat chickens; 26 fat roosters; 7 thin brown hens; 18 thin brown roosters; 6 thin red roosters; 5 thin red hens;

12. Problem Solving 6 Questions: (Assume all chickens are thin or fat, red or brown, and hens or roosters.) How many chickens were 1) fat? 2) male? 3) brown, but not fat? 4) red? 5) fat, but not male? 6) red and fat?

13. Problem Solving 7 A survey of people attending a Lunar New Year celebration in Chinatown yielded the following results: 120 were women; 150 spoke Cantonese; 170 lit firecrackers; 108 of the men spoke Cantonese 100 of the men did not light firecrackers; 18 of the non-Cantonese-speaking women lit firecrackers; 18 of the non-Cantonese-speaking women lit firecrackers; 78 non-Cantonese-speaking men did not light firecrackers; 78 non-Cantonese-speaking men did not light firecrackers; 30 of the women who spoke Cantonese lit firecrackers. 30 of the women who spoke Cantonese lit firecrackers.

14. Problem Solving 7 Questions: 1) How many attended? 2) How many of those who attended did not speak Cantonese? 3) How many women did not light firecrackers? 4) How many of those who lit firecrackers were Cantonese-speaking men?