# Please help w/ "24 players on team;12 are blonde, 15 are female, 3 are both."

#### Potplant

##### New member
Please help w/ "24 players on team;12 are blonde, 15 are female, 3 are both."

[FONT=&quot]There are 24 players in a team. 12 are blonde, 15 are female and 3 are both. How many are not blonde or female? [/FONT]
[FONT=Helvetica Neue, Helvetica, Arial, sans-serif]Tossing up between 15 and 21.[/FONT]

#### mmm4444bot

##### Super Moderator
Staff member
There are 24 players in a team. 12 are blonde, 15 are female and 3 are both. How many are not blonde or female?
Hello. What have you thought about or tried, so far?

Did you organize the given information? For example, you could write numbers of players inside a two by two grid.

Label the left column Female; label the right column Male.

Label the top row Blond; label the bottom row Not Blond.

You're told that 3 players are blond females. Write 3 in the spot for blond females (upper left).

Can you reason out the number of players in the other three spots? :cool:

PS: Be sure to read the forum guidelines.

#### Potplant

##### New member
Hello. What have you thought about or tried, so far?

Did you organize the given information? For example, you could write numbers of players inside a two by two grid.

Label the left column Female; label the right column Male.

Label the top row Blond; label the bottom row Not Blond.

You're told that 3 players are blond females. Write 3 in the spot for blond females (upper left).

Can you reason out the number of players in the other three spots? :cool:

PS: Be sure to read the forum guidelines.
I've sorted it into a venn diagram. There are 9 girls, 12 blondes, and 3 of both. I'm confused about where to go from there, I'm tossing up between 15 and 21.

#### mmm4444bot

##### Super Moderator
Staff member
I've sorted it into a venn diagram.
What does your Venn diagram look like?

There are 9 girls, 12 blondes, and 3 of both.
Wait! That's not what you wrote in your first post.

You said there are 15 girls, 12 blondes, and 3 of both.

#### stapel

##### Super Moderator
Staff member
I've sorted it into a venn diagram. There are 9 girls, 12 blondes, and 3 of both. I'm confused about where to go from there, I'm tossing up between 15 and 21.
How are you arriving at two different values from your diagram? You set up the universe and the two circles:

Code:
Venn diagram:

*----------------------------*
|                            |
|  blonde: 12     female:15  |
|     ------    ------       |
|   /        \/        \     |
|  /         /\         \    |
| |         |  |         |   |
| |         |  |         |   |
| |         |  |         |   |
|  \         \/         /    |
|   \        /\        /     |
|     ------    ------       |
|                            |
*----------------------------*
universe: 24
And then what?

Please reply showing your work, so we can see what's going on. Thank you!