1 -16 points My Notes Ask Your Teacher There are 155 good football players in th

Question

1 -16 points My Notes Ask Your Teacher There are 155 good football players in the state of Ohio. The Bears and Packers have each made up a scouting list, but 90 of these players are not on either list. The Bears' list includes 12 players that are not on the Packers' list, and the Packers' list includes 12 players who are not on the Bears' list. How many players are on the Bears' scouting list? How many players are on the Packers' scouting list? 2.55 points I Previous Answers In a group of 45 people at a medical clinic, 8 need dental work and 11 need an eye exam but do not need dental work. And 2 of the people need dental work but do not need an eye exam. My Notes Ask Your How many need dental work and an eye exam? How many require neither dental work nor an eye exam? 28 3. 31G points I Previous Answers My Notes Ask Your Among 42 people who live in Kansas, 8 subscribe to a newspaper and 11 have cable TV but do not subscribe to a newspaper. And 2 of the people subscribe to a newspaper but do not have cable TV How many subscribe to a newspaper and have cable TV? How many have neither a newspaper no cable TV? 15

Explanation / Answer

1) Total footballers = 155. 90 are not on either list therefore remaining = 155 - 90 = 65.

Number of players on only bears (not on packers) = 12

Number of players on only packers (not on bears) = 12

Let number of players on both lists = x

Therefore x + 12 + 12 = 65 or x = 41

Therefore number of players on bears list = 12 + 41 = 53

Number of players on packers list = 12 + 41 = 53

2) Total number of people = 45

Those who need dental work = 8 Those who need only dental work = 2, and those who need only an eye exam = 11

Number of people who need both dental work and an eye exam = 8 - 2 = 6

Let those who need neither = x

Then 45 = Only eye exam + only dental work + both + x

45 = 2 + 11 + 6 + x.

Therefore x = 45 - 19 = 26

3) Total people considered = 42

Paper subscribers = 8.

Only Paper subscribers = 2

Only Cable TV subscribers = 11

Those who subscribe to both = 8 - 2 = 6

Let those who subscribe to neither = x

Then 42 = Only Paper + Only TV + both + x

42 = 2 + 11 + 6 + x.

Therefore x = 42 - 19 = 23

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