Ram had 15 coins, all the same kind, and he put them into 4 bags.

He labelled each bag with the number of coins inside it.

He could then pay any sum of money from 1 coin to 15 coins using one or more of the bags without opening any of the bags.

How many coins did he put in each bag?

Click here to download the MONEY BAGS Teacher Notes

Click here to download the MONEY BAGS worksheet.

This problem is based on Money Bags from ‘Mathematical Challenges for Able Pupils published by UK DfES. You can download a copy here.

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2 Responses to Money Bags

  1. toni says:

    Here is a hint. Suppose you have 3 coins and 2 bags. Put 1 coin in bag A and 2 coins in bag B. With bag A pay 1 coin, with bag B pay 2 coins and with bag A and Bag B together pay 3 coins.

    Without taking any coins out of the bags, and just handing over some bags, you want to be able to pay 1 coin, or 2, or 3, or 4 or any amount up to 15 coins when of course you would hand over all four bags.

  2. Thumeka says:

    I will visit the site frequently

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