Total - 60,000 people - 33,000 bike - 40,000 jog - 16,000- bike and jog.How many do neither?

Question

Some of the 60000 people in Sleepy City like riding bikes and jogging. Thirty three thousand like riding bikes, 40,000 like jogging, 16,000 like both and the rest of the people don't like either riding bikes or jogging. How many people are there in Sleepy Hollow who don't like either riding bikes or jogging?

Based on past questions answered by MYZ ant.. I tried using your explicit explanations and ended up with 3,000 people who don't like either riding bikes or jogging? is this correct..please show work...thanks so much

 

Answer 1

This is a typical Venn diagram problem. Draw two intersecting circles inside of a rectangle. Labele one circle bikes and the other circle joggers.

Where the circles overlap is whee the people like to do both since anything in that space is in both circles.

 

That intersecting spade would then be labeled with 16000 people.

This leave inside the circle marked bikes with 33000 - 16000 = 17000 in the remaining portion of the circle which represents bikes only.

The region for joggers only would have 40000 - 16000 = 24000.

 

So these 3 regions put togethter is 17000 + 16000 + 24000 = 57000.

Your city has 60000 in it and 57000 fit inside the circles and therefore like those activities. This leaves you with 60000 - 57000 = 30000 who don't like either activity.

 

Hope you could follow the logic.