Question: A baseball player's batting average is determined by dividing the number of hits by the number of times at bat and multiplying by 1000. (Batting

A baseball player's batting average is determined by dividing the number of hits by the number of times at bat and multiplying by 1000. (Batting averages are usually, but not necessarily, rounded to the nearest whole number.) For instance, if a player gets 2 hits in 5 times at bat, his batting average is 400: (2/5 × 1000 = 400). Partway through the season, a player thinks to himself, "If I get a hit in my next time at bat, my average will go up to 250; if I don't get a hit, it will drop to 187.5." How many times has this player batted, how many hits has he had, and what is his current batting average?

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