# math

hannah morris and hannah kim are going for the top batting average in thier softball league.Today is thier last game.up to now,hannah morris had 40 hits in 149 times at bat,and hannah morris has had 37 hits in 141 times at bat.Explain how they could end the season in a tie even if they bat fewer than 5 times.also what is thier percentage in acurracy?

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1. right now:
Morris --> 40/149 = .268456 = .268
Kim------> 37/141 = .262411 = .262

for Kim make a grid with extra hits on top and extra at-bats on the side

........extra hits......
.....0......1......2......3....4
0..37/141
1..37/142 38/142
2..37/143 38/143 39/143
3..37/144 38/144 39/144 40/144
4..37/145 38/145 39/145 40/145 41/145

notice that 38/142 = .2676 or .268

since US baseball averages are given in 3 digits, at least that is my guess, we could conclude that Morris gets no more hits at no more at bats, and Kim gets 1 more hit at one more at bat

You could make a similar chart for Morris and I am sure there are other percentages which become equal to 3 digits.

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posted by Reiny

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