Lizzy: 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?.
Me: Hmmm, let me think. I think this is the detailed solution:
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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. Final answer: 50.
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