Problem 2. The mother of each of her three children gave them the same weekly pocket money. When each child spent 300 denars, the total remaining amount was equal to the pocket money of one of them. What amount did the mother allocate for the pocket money of her children?


Solution. The three children together spent $3 \cdot 300=900$ denars. Since after spending this money, the remaining amount is equal to the pocket money of one of them, we get that these 900 denars are equal to two pocket monies of one of the children. According to this, the pocket money of one child amounts to $900: 2=450$ denars. Finally, the amount the mother allocated for the pocket money of her children is $3 \cdot 450=1350$ denars.