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1. You enter a hotdog eating contest. Your opponent eats at a steady rate of 3 hot dogs every 2 minutes. You can eat at a steady rate of 2 hot dogs every minute. Your opponent gets a 1 minute head start because you were getting pumped up. How many minutes into the contest before you overtake your opponent? 2. 3. You are starting your video game collection with 23 games and you get 3 new games a month. Your friend starts collecting at the same time as you but starts with 32 games and gets 2 new games a month. Who gets to 50 games first? In how many months