Math Puzzle: Play Architect with These Houses of Cards

A house of cards with exactly 100 playing cards is possible and would have eight floors. The number of cards needed for each level follows a quadratic equation pattern. To prove this, you can set up a system of equations to find the values for the quadratic formula K = ax² + bx + c, where K is the number of cards and x is the number of rows. Solving this equation for K = 100 reveals that a house with eight floors uses exactly 100 cards.