3. Three students agreed to share 11 identical rolls for dinner. For this occasion, Trajko brought 5 rolls, Vangel brought 6 rolls, and Jordan brought 11 denars. How should these 11 denars be distributed between Trajko and Vangel, so that all three students equally share the costs of the dinner?
Solution. Since Jordan paid his share of the dinner, the dinner for the three of them costs 33 denars. This means each roll costs 3 denars. Consequently, Trajko's five rolls are worth 15 denars, and he dined for 11 denars. We conclude that Trajko should take 4 denars, and Vangel the remaining 7 denars.