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

Home > Logic > Weights and Scales
Mixing Paint (Posted on 2004-06-06) Difficulty: 2 of 5
A painter has a gallon tin (eight pints) contianing six pints of yellow paint and another gallon tin containing four pints of blue paint. He wants to mix the paints together so he can paint a room green. The shade of green in all the containers at the end must be the same.

The two tins are different shapes (though the both will hold exactly a gallon) and they are not symmetric shapes, so it is not possible to tell if they are, say, half full by tilting them at an angle. The painter cannot make marks on the tins either .

He needs all ten pints to paint the room, unfortunately, he doesn't have a mixing vessel large enough to hold all the paint - the only other container he has is a pint glass.

By pouring paint back and forth, mix the paint correctly using just these containers.

  Submitted by Brian Smith    
Rating: 3.0000 (3 votes)
Solution: (Hide)
Step 1. Using glass, transfer 1 pint from yellow tin to blue tin
- Yellow Tin: 5 pints of 100% yellow.
- Blue Tin: 5 pints of 80% blue.
- Glass: Empty.

Step 2. Pour one pint from blue tin into glass.
- Yellow Tin: 5 pints of 100% yellow.
- Blue Tin: 4 pints of 80% blue.
- Glass: 1 pint of 80% blue.

Step 3. Pour paint from yellow tin into blue tin until it is full.
- Yellow Tin: 1 pint of 100% yellow.
- Blue Tin: 8 pints of 40% blue.
- Glass: 1 pint of 80% blue.

Step 4. Pour the glass into the yellow tin.
- Yellow Tin: 2 pint of 40% blue.
- Blue Tin: 8 pints of 40% blue.
- Glass: Empty.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
hiayala2004-09-30 14:29:37
paintrick r.2004-06-07 01:15:15
SolutionSolution (spoiler)Larry2004-06-06 13:02:02
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