Task 1. During the New Year holidays, Ana and Vangel received 2000 denars from their parents. They made a plan to spend one quarter of the money on a ball, and one third of the remainder on a doll. How much money will they have left after buying the ball and the doll?
Solution. They planned to spend $2000: 4=500$ denars on the ball. After buying the ball, they will have $2000-500=1500$ denars left. For buying the doll, they intended to spend $1500: 3=500$ denars. Therefore, in the end, they will have $1500-500=1000$ denars left.