In The Taming of the Shrew, why did Lucentio say the following quote in Act I, Scene 1?"Tranio, let's go. One thing more rests, that thyself execute, to make one among these wooers."
Let us remember the context of this quote that you are asking about. It comes towards the end of the first scene of this play, after Lucentio and Tranio have overheard the conversation between Baptista and the suitors that want to marry Bianca. They have devised a plan to win Bianca for Lucentio, and having planned to swap places, now they must put their plan into action and allow the wooing to begin. Lucentio has devised to pass himself of as a tutor, which he hopes will gain him access to Bianca, and meanwhile, to cover for his absence, Tranio will play the role of his master. Thus this quote neatly concludes their plan in Act I scene 1 and expresses Lucentio's determination to make sure that he succeeds in wooing Bianca. Thus the plot is set up and we shall see what happens during the accompanying chaos.