SOLUTION: Spencer makes 9 out of 13 shots in the first half of a basketball game. How many consecutive shots must he make in the second half of the game to raise his percentage to 96%?

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Question 201347: Spencer makes 9 out of 13 shots in the first half of a basketball game.
How many consecutive shots must he make in the second half of the game to
raise his percentage to 96%?
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Spencer makes 9 out of 13 shots in the first half of a basketball game.
How many consecutive shots must he make in the second half of the game to
raise his percentage to 96%?
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Let "x" be the number of consecutive shots he need to make.
Equation:
(9+x)/(13+x) = 0.96
9+x = 0.96(13+x)
900 + 100x = 96(13+x)
900 + 100x = 1248 + 96x
4x = 348
x = 87 (# of consecutive shots he must make to get to 96%)
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Cheers,
Stan H.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Spencer makes 9 out of 13 shots in the first half of a basketball game.
How many consecutive shots must he make in the second half of the game to
raise his percentage to 96%?
----------------
He's already missed 4.
96/100 = 96%, so he has to make the next 87.
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The hard way:
(x+9)/(x+13) = 0.96
x+9 = 0.96*(x+13)
100x + 900 = 96x + 1248
4x = 348
x = 87