Question 163
Vlad, Luca and Adina bought school supplies worth of $118$ lei. Vlad bought $5$ pens, $4$ notebooks and $3$ pencil boxes, Luca bought $7$ pens, $3$ notebooks and $4$ pencil boxes, and Adina bought $8$ pens, $7$ notebooks and $7$ pencil boxes. Given that Luca payed $5$ lei more than Vlad, and Adina $4$ lei less than Vlad and Luca together, find out how much does each one of the three supplies cost.