A speaker talked for 60 minutes to a full auditorium. Thin percent of the attend

Question

A speaker talked for 60 minutes to a full auditorium. Thin percent of the attendees listened to the entire presentation while ten percent slept through the entire talk. Divide the remaining attendees in half. The first hall is called Group A and the second half is called Group B. Suppose Group A heard one-third of the talk and Group B heard two-thirds of the talk. What is the average number of minutes of the talk heard by all members of the audience? Suppose Group A heard one-fourth of the lecture Group B heard three-fourths of the lecture. What is the average number of minutes of the talk heard by all members of the audience? Suppose Group A heard one-fifth of the lecture Group B heard four-fifths of the lecture What is the average number of minutes of the talk heard by all members of the audience? Following the same pattern, what is the average number of minutes of the talk heard by members of the audience if Group A heard one-n h of the lecture and Group B heard the portion of the lecture not heard by Group A? Explain your reasoning. Suppose forty percent of the attendees listened to the entire talk, ten percent slept, half of the remaining attendees heard one-fourth and the other half heard three-fourths. What is the average number of minutes heard by the audience? Suppose fifty percent of the attendees listened to the entire talk, ten percent slept, half of the remaining attendees heard one-fourth and the other half heard three-fourth s. What is the average number of minutes heard by the audience? Suppose p percent listen to the entire talk, ten percent slept, half of the remaining attendees heard one-toroth of the talk and the other half heard three-fourths of the talk. What is the average number of minutes heard by the audience? Explain.

Explanation / Answer

a) group a heard = 10/3

group b heard = 20/3

and the % percentage of people listned = 30%

by adding all these = 10/3 +20/3 +30

= 40

average minuttes 40/3 = 13.33minutes.

b) similar manner applicable to b, c

10/4 +60/4 + 30

= 190/4 = 47.5

average minutes = 15.7

c) 10/5+ 80/5 +30

240/5 = 48

average minutes = 48/3 = 18

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