Hint 1
Three men go into a hotel. The man behind the counter tells the men that a room is $30. Each man pays $10 and goes to the room. Some time later, the man behind the desk realized that the room was only $25 so he sent the bellboy to the men's room with $5. Realizing that the three men couldn't split the $5 refund evenly, the bellboy gave each man $1 and kept the other $2 for himself.
Therefore, the three men each paid $9 for the room, which is a total of $27. The cost of the room plus the $2 that the bellboy kept totals $29. Where is the other dollar?
Try thinking of this problem from two different perspectives: How much money was given to the hotel and how much money the men spent. Were the total amounts for each of these the same?
Three men go into a hotel. The man behind the counter tells the men that a room is $30. Each man pays $10 and goes to the room. Some time later, the man behind the desk realized that the room was only $25 so he sent the bellboy to the men's room with $5. Realizing that the three men couldn't split the $5 refund evenly, the bellboy gave each man $1 and kept the other $2 for himself.
Therefore, the three men each paid $9 for the room, which is a total of $27. The cost of the room plus the $2 that the bellboy kept totals $29. Where is the other dollar?
Try thinking of this problem from two different perspectives: How much money was given to the hotel and how much money the men spent. Were the total amounts for each of these the same?