Challenge:Balancing problem

I am not sure if this is a popular question but I hope you will respect my wishes and not Google it. If you have already heard it,either move on,or post a hint,or add a followup question.

You have 55 boxes of coins.44 of them contain 1010 gm coins and 11 of them contains 1111 gm coins.Assuming you can weigh any weight using a balance,can you spot the box with the 1111 gm coins by weighing only once?If yes,how?

Details and Assumptions: You can take coins out of the boxes if you like.

Note by Rahul Saha
6 years, 5 months ago

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Can I assume the boxes have no mass?

Jihoon Kang - 4 years, 11 months ago

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You can, I suppose. Alternatively, you can assume the boxes have equal mass.

Rahul Saha - 4 years, 11 months ago

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By saying "You can take coins out of the boxes if you like", do you mean that we can take them out while they're being balanced? Obviously that'd make it damn easy. Explain that statement!

Parth Thakkar - 6 years, 3 months ago

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That's very simple. If suppose the weight of the box weighed is 10 gm, then all the four boxes weighing 10 gm coins have equal number of coins. Just take the coins out of each box and count them.

Deepak Sharma - 6 years, 4 months ago

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Can you explain more clearly what you mean?Also,I never said that the number of coins must be equal.Don't make unwarranted assumptions.

Rahul Saha - 6 years, 4 months ago

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