Brain Teasers
7 Bags
Fun: (2.72)
Difficulty: (2.03)
Puzzle ID: #26499
Submitted By: Question_Mark Corrected By: Question_Mark
Submitted By: Question_Mark Corrected By: Question_Mark
I have 7 bags of marbles. There are 200 marbles in total. Using the clues below, work out how many marbles are in each bag.
Bag 1 + Bag 2 = 57 marbles
Bag 2 + Bag 3 = 83 marbles
Bag 3 + Bag 4 = 71 marbles
Bag 4 + Bag 5 = 43 marbles
Bag 5 + Bag 6 = 66 marbles
Bag 6 + Bag 7 = 43 marbles
Bag 1 + Bag 2 = 57 marbles
Bag 2 + Bag 3 = 83 marbles
Bag 3 + Bag 4 = 71 marbles
Bag 4 + Bag 5 = 43 marbles
Bag 5 + Bag 6 = 66 marbles
Bag 6 + Bag 7 = 43 marbles
Answer
Bag 1 = 31 marblesBag 2 = 26 marbles
Bag 3 = 57 marbles
Bag 4 = 14 marbles
Bag 5 = 29 marbles
Bag 6 = 37 marbles
Bag 7 = 6 marbles
If you know that Bag 1 + Bag 2 = 57 marbles, and Bag 3 + Bag 4 = 71 marbles, and Bag 6 + Bag 7 = 43 marbles, then you should be able to work out the amount of marbles for Bag 5. 200-57-71-43=29 so Bag 5 has 29 marbles. From that you can work out that Bag 4 has 14 marbles and Bag 6 has 37. From that you can work out that Bag 3 has 57 marbles and that Bag 7 has 6 marbles. From that you can work out that Bag 2 has 26 marbles and from that you can work out that Bag 1 has 31 marbles.
Hide Answer Show Answer
What Next?
View a Similar Brain Teaser...
If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.
Solve a Puzzle
Comments
WOW, that was a great one, I tried to work it all out , but kept thinking I was missing something. Didn't get all of it, perhaps next time
"From that" i got a good brain work out.
I currently have another one of these in pending so who knows?
WHAT? I'm soooo confused right now!
That was hard for me - been out of school for awhile. It was fun to try. I appreciate that you gave the how in your answer.
Nice one Q.M. Iliked it a lot
That was fun! Thank you. It made me feel smart!
WOW confusing and really couldn't be lazy on this one. great job!
Sooo easy.........
how did you get 200?
never mind
Nov 10, 2005
Very easy!
To post a comment, please create an account and sign in.
Follow Braingle!