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

Home > Numbers
Check Mate (Posted on 2003-10-06) Difficulty: 3 of 5
Two brothers share a flock of x sheep. They take the sheep to the market and sell each sheep for $x. At the end of the day they put the money from the sales on the table to divide it equally. All money is in $10 bills, except for fewer than ten excess $1 bills. One at a time they take out $10 bills. The brother who draws first also draws last.

The second brother complains about getting one less $10 bill so the first brother offers him all the $1 bills. The second brother still received a total less than the first brother so he asks the first brother to write him a check to balance the things out.

How much was the check?

See The Solution Submitted by Ravi Raja    
Rating: 4.0000 (7 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Possible solution | Comment 4 of 12 |
I am assuming that x in this question is a constant. In other words, each sheep is sold for an amount of dollars equal to the amount of sheep in the flock. I am also assuming that all of the sheep were sold. They must then get a nice turnover of x*x (square of x)

To work out the size of the check:
y = remainder of sqr(x)/10 or y = sqr(x) mod 10

check = (10 - y)/2

Then there's also that weird all end on six thing in Nikki's answer, which is great.

Edited on October 7, 2003, 3:01 am
Edited on October 7, 2003, 3:02 am
  Posted by ratsnstuff on 2003-10-07 02:45:58
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (14)
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