Tim, the tile man, has landed a contract to cover the floor of a new software emporium. The eccentric owner has requested a bottom layer of ceramic tiles that measure 50 cm x 50 cm each, and a top layer of carpet squares that measure 60 cm x 60 cm each.
If the floorspace of the emporium is exactly 42 m x 60 m, how many more ceramic tiles than carpet squares will Tim need?
BONUS QUESTION:
Tile Tally
The owner has selected a carpet square with a perfectly-centered, diamond pattern (as shown). If Tim covers the ceramic tiles using these carpet squares, how much of the floorspace will be covered by diamonds?