All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
From NPR (Posted on 2018-05-08) Difficulty: 2 of 5
Thirty buyers attended an auction of dozens of cars. Ten of the buyers bought fewer than 6 cars; eight bought more than 7 cars; five bought more than 8 cars; and one bought more than 9 cars.

Of the 30 buyers, how many bought 6, 7, 8, or 9 cars?

No Solution Yet Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Just counting (spoiler) Comment 1 of 1
10 people bought less than 6 and 1 bought more than 9, so the number who bought 6, 7, 8 or 9 = 30 - 10 - 1 = 19.  Final Answer.

/*************************/
For extra credit, we can also work out that 5 - 1 = 4 bought 9 cars.
Also, 8 - 5 = 3 bought 8 cars.
So 19 - 4 - 3 = 12 bought 6 or 7 cars.  
There is no way to work out how many of those bought 6 and how many bought 7.

  Posted by Steve Herman on 2018-05-08 12:17:01
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (23)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information