Problem 1. Grandma Bile bought apples from the market. The grandchildren of Grandma Bile ate half of the total number of apples for dinner. The grandfather of the grandchildren ate one apple for dinner. When the grandchildren ate another half of the remaining apples in the evening, only three apples were left. How many apples did Grandma Bile buy in total?
Solution. Since there were three apples left in the evening, we conclude that the grandchildren ate three apples in the evening. Before that, there were 6 apples. One apple was eaten by grandpa, so before that, there were 7 apples. The last point means that the grandchildren ate 7 apples for dinner, which means that Grandma Bile bought a total of $7+7=14$ apples.