# percentage

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• Jun 10th 2008, 01:17 PM
carpark
percentage
28% play basketball
29% play baseball
19% play soccer
14% play bball and baseball
12% play baseball and soccer
10% play bball and soccer
8% play all three

How do i find the percentage that play NO sports? This is all the info given. Please do NOT give the answer.. I just need to know HOW to do it.
• Jun 10th 2008, 02:04 PM
Soroban
Hello, carpark!

Quote:

28% play A
29% play B
19% play C
14% play A and B
12% play B and C
10% play A and C
8% play all three

How do i find the percentage that play NO sports?

Are you familiar with Venn diagrams?

You can insert the given informiation into a 3-ring Venn diagram,
. . and determine the total that play any sports.
Then subtract from 100%.

There is also a formula for finding the number in the union of three sets:

$n(A \cup B \cup C)$
. . . $=\; n(A)+n(B)+n(C)-n(A\cap B)-n(B \cap C)-n(A \cap C)+n(A \cap B \cap C)$

• Jun 10th 2008, 02:34 PM
masters
Quote:

Originally Posted by Soroban
Hello, carpark!

Are you familiar with Venn diagrams?

.

I think the Venn diagram would look like this.