There are 120 cards in a box. If 2/5 of the cards are red, exactly 5/9 of the remainder are black, and the rest are green, calculate the number of green cards in the box?
Thoughts? Step-by-step reasoning:
The number of red cards in the box, 2 / 5 of the total number, is 2 / 5 * 120 = 48. The number of cards that are not red is 120 - 48 = 72. If 5 / 9 of the remaining cards are black, then there are 5 / 9 * 72 = 40 black cards in the box. If the remaining cards are green, then there are 72 - 40 = 32 green cards in the box.
Thus, the answer is 32.