KöMaL 2005 K54

A printing press is working on a board game that uses two kinds of figures moving on the board: dogs and cats. The dog and cat figures are to be cut out of cardboard. The cat to dog ratio in the set of figures packed in the box with each game is 5:3. To reduce wastes, the figures are printed on large sheets of cardboard in two different arrangements. One type of sheet contains 28 dogs and 28 cats, and the other one contains 42 cats. In what proportion should the two types of sheets printed in order to obtain them in the right proportion after cutting out?