Answer: SARAH


To determine this, look at who is higher ranked in each column of the preference schedule (and by how many voters).

   

# of

Voters

 

Place

130 120 100 150
1st P T T S
2nd R R R R
3rd S S P P
4th T P S T

In the first column, we see that 130 voters prefer Paul to Sarah and in the third column 100 voters prefer Paul to Sarah for a total of 230 votes. But Sarah is preferred to Paul in the other two columns, giving Sarah 270 votes (120+150). So, Sarah beats Paul in a head-to-head matchup. Since Sarah won, we put her name in the appropriate cell of the head-to-head matchup table.

  Paul Rita Sarah Tim
Paul ---------- RITA SARAH  
Rita ---------- ----------    
Sarah ---------- ---------- ----------  
Tim ---------- ---------- ---------- ----------

Back