### 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

Math
Math brain teasers require computations to solve.

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.

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## 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!

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