The number of cards in a card game was 500. Two friends Ellis and Orion, playing together, divided the cards in the ratio of 11:9. How many more cards did Ellis get than Orion?
Thoughts? Step-by-step reasoning:
The total ratio representing the 500 cards is 11 + 9 = 20. The fraction of the total ratio that represents the number of cards that Ellis got is 11 / 20, and since there were 500 cards, Ellis got 11 / 20 * 500 = 275. If there were 500 cards, and Ellis received 275 cards, Orion received 500 - 275 = 225 cards. The number of cards that Ellis received more than Orion is 275 - 225 = 50 cards.
Thus, the answer is 50.