Question

A 60 person committee is deciding to add a player to the Hall of Fame. One fifth voted in favor, onefourth voted against and the rest abstained, How many abstained?

Answer 1

To determine the number of people who abstained, we can subtract the number of people who voted in favor and against from the total committee size. In this case, 33 people abstained.

Step-by-step explanation:

In order to determine how many abstained from voting, we need to calculate the number of people who voted in favor and against first.

Given that one fifth voted in favor, we can calculate 1/5 * 60 = 12 people voted in favor. Similarly, one fourth voted against, so 1/4 * 60 = 15 people voted against.

Since the remaining people neither voted in favor nor against, we subtract the number of people who voted in favor and against from the total committee size to determine the number of people who abstained.

So, the number of people who abstained is 60 - 12 - 15 = 33.

Answer 2

Total committee = 60

In favour = one fifth of the total

`(1)/(5)*60=12`

Against = one fourth of the total

`(1)/(4)*60=15`

The number that abstained = 60 - 12 - 15

`\begin{gathered} 60-12-15 \\ =33 \end{gathered}`

Therefore the correct answer is 33