Give the step-by-step reasoning process and then the final answer. A bag contains 50 fewer baseball cards than football cards. There are 4 times as many football cards as hockey cards. If there are 200 hockey cards in the bag, how many cards are there altogether?
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If there are 200 hockey cards in the bag and 4 times as many football cards as hockey cards, there are 4 * 200 = 800 football cards. The total number of football and hockey cards in the bag is 800 + 200 = 1000 cards. The bag contains 50 fewer baseball cards than football cards, meaning there are 800 - 50 = 750 baseball cards. Altogether, there are 750 + 1000 = 1750 cards.
The final answer: 1750.
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