a packet of mini eggs contains 23 eggs. there are 44 children.how many packets should Mrs Rodger buy so that each child gets 3 eggs each?

$${\mathtt{44}}{\mathtt{\,\times\,}}{\mathtt{3}} = {\mathtt{132}}$$     eggs are needed.

$${\frac{{\mathtt{132}}}{{\mathtt{23}}}} = {\mathtt{5.739\: \!130\: \!434\: \!782\: \!608\: \!7}}$$

So you will need 6 packets

$${\mathtt{6}}{\mathtt{\,\times\,}}{\mathtt{23}}{\mathtt{\,-\,}}{\mathtt{132}} = {\mathtt{6}}$$

The children will get 3 each and Mrs Rodgers will get 6 for herself.  :)

Thanks Chris