Chapter 12– Draw Venn Diagrams – Day 2

POD – - Musicians

In a music club with 15 members, 7 people played piano, 6 people played guitar, and 4 people didn’t play either of these two instruments. How many people played both piano and guitar?

Homework: Chapter 12 – Read pages 301-top 312.

Assignment: #1, #2, #3, #4, #5

TVs

At a large TV appliance store you can purchase a TV in two sizes: Large or small. Each TV has either a black and white or a color screen the owner of the store has checked her stock and found out that she has

23 large TVs

6 small black and white TVs

19 color TVs

21 black and white TVs

How many large color TVs are there?

How many small TVs are there?

How many TVs are there in all?

Clocks

Calvin’s Clock Company makes clocks. Each cold that the company makes is either chiming or nonchiming and either digital or nondigital. His clocks in stock have the following information:

14 are chiming

33 are digital

8 are chiming and digital

46 are neither chiming nor digital.

How many clocks are chiming but not digital?

How many clocks are nonchiming and also digital?

How many clocks have at least one of these two features: chiming and digital?

How many clocks does Calving have in stock all together?

Book Sale

A PTA sold books at a fair. Each book sold was either fiction or nonfiction and was either a hardback or a paperback. Hardback books of fiction bring in the most money. The committee chair can’t remember exactly how many of these were sold, but he does remember that 30 books were sold in all. 20 hardcover books were sold. 15 books of fiction were sold. What is the smallest possible number of hardback books of fiction sold? What is the largest possible number of hardback books of fiction sold?

QUIZ - NEW Gadgets

A recent survey of 600 families revealed that 348 of them had a video cassette recorder (VCR), 198 had a microwave oven, and 75 had both a VCR and a microwave oven. Based upon this information,

a) How many families had neither a VCR nor a microwave oven?

b) How many families had only a VCR?

c) How many families had only a microwave oven?

Venn Diagrams

Three different, possibly overlapping sets.

Three circles – Popular sport to watch

Three circles – Popular TV show

IN CLASS – High School Background

The student government at State University recently conducted a survey to gather more information on the high school backgrounds of entering freshmen. There were 100 students interviewed and the following data were collected: 28 took physics,

31 took biology,

42 took geometry,

9 took physics and biology,

10 took physics and geometry,

6 took biology and geometry, and

4 took all three subjects.

On the basis of these figures,

a) How many students took none of the three subjects?

b) How many students took physics, but not biology or geometry?

c) How many students took biology and physics but not geometry?

IN CLASS - Possessions

In a survey of 6500 people, 5100 had a car, 2280 had a pet, 5420 had a television set, 4800 had a TV and a car, 1500 had a TV and a pet, 1250 had a car and a pet, and 1100 had a TV, a car, and a pet.

a) How many people had a TV and a pet, but did not have a car?

b) How many people had neither a pet, a TV, nor a car?

IN CLASS – Athletes

Of the eighth graders at the Paxson school, there were 7 who played basketball, 9 who played volley ball, 10 who played soccer, 1 who played basketball and volleyball only, 1 who played basketball and soccer only, 2 who played volleyball, basketball, and soccer. 3 played volleyball and soccer only. How many played one or more of the three sports?

IN CLASS – Multiple Majors

A survey was taken of 150 college freshmen. Forty of them were majoring in Mathematics, 30 of them were majoring in English, 20 were majoring in Science, 7 had a double major of Math and English, and none had a double (or triple) major with Science. How many students had majors other than Math, English, or Science?

**Hint: None had a double (or triple) major with Science gives a lot of information!

IN CLASS - TV Viewing

A class survey found that 25 students watched TV on Monday, 20 on Tuesday, and 16 on Wednesday. Of those who watched TV on only one of these days, 11 chose Monday, 7 chose Tuesday, and 6 chose Wednesday. If every student watches TV on at least 1 of these days and 7 students watched on all 3 days, find the smallest possible number of students in the class.

POD – Butcher, Baker, and Candlestick Maker

At a convention of 350 butchers (B), bakers (A), and candlestick makers (C), there were 50 who were both B and A but not C, 70 who were B but neither A nor C, 60 who were A but neither B nor C, 40 who were both A and C but not B, 50 who were both B and C but not A, 80 who were C but neither A nor B. How many at the convention were A, B, and C?

Homework: Chapter 12 – Read pages 312- 317.

Assignment: pg 319 – 6, 7, 8, 9