Question 153579
The trick here is to total of the 'fractional parts'.
So add {{{1/2 + 1/6 + 1/6 + 1/12}}}
{{{6/12 + 2/12 + 2/12 + 1/12}}}
{{{11/12}}}
The total fraction when everyone is counted must be 1. We are short {{{1/12}}} 
So 2 two goalies must be {{{1/12}}} worth of the group.
{{{2/GroupTotal = 1/12}}}
{{{24 = GroupTotal}}}
Now check your answers.
1/2 would be 12
1/6 would be 4
1/12 would be 2

Does 12+4+4+2+2 = 24?