greenvallley wrote:

Between them 3 children have won a total of 24 boxes of gold coins:

7 boxes each containing 16 gold coins

7 boxes each containing 14 gold coins

10 boxes each containing 9 gold coins.

Part 1:

They decide to share what they have won equally, each child receiving the same number of coins

How many coins should they each receive ?

This part is fine, answer 100

Part 2:

They find they can share the coins equally WITHOUT OPENING ANY OF THE BOXES

Work out how they do this.

1 child takes.....boxes of 16 coins and .... boxes of 14 coins and .... boxes of 9 coins.

Another child takes ....boxes of 16 coins and ....boxes of 14 coins and...boxes of 9 coins.

The third child takes ....boxes of 16 coins and ...boxes of 14 coins and ....boxes of 9 coins.

Please can someone help work out Part 2

Many thanks.

1 child takes.

1.boxes of 16 coins and .

6... boxes of 14 coins and .

0... boxes of 9 coins.

Another child takes

2....boxes of 16 coins and .

1...boxes of 14 coins and.

6..boxes of 9 coins.

The third child takes ..

4..boxes of 16 coins and .

0..boxes of 14 coins and ..

4..boxes of 9 coins.