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Regis was competing on a game show, and he ran into a losing streak. First, he bet half of his money on one question and lost it. Then he lost half of his remaining money on another question. Then he lost $300 on another question. Then he lost half of his remaining money on another question. Finally, he got a question right and won $200. At this point, the show ended, and he had $1,200 left. How much did he have before his losing streak began

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Answer:

$9200

Step-by-step explanation:

Given :

Working backwards :

Amount left before last $200 winning = $1200 - $200 = $1000

Amount had before 4th bet loss : $1000 * 2 = $2000

Amount lost on third bet loss = $300

Total amount had before 2nd bet loss = $(2000 + 300) = $2300

Amount had before second loss = 2 * 2300 = $4600

Amount had before first bet loss = $4600 * 2 = $9200

Hence, amount had before starting to lose games is $9200

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