SOLUTION: Solve Jenny has made 35 of 50 free throws attempts in practice. A.) What is the least number of free throws she can make in a row before her percentage of free throws made is

Algebra ->  Real-numbers -> SOLUTION: Solve Jenny has made 35 of 50 free throws attempts in practice. A.) What is the least number of free throws she can make in a row before her percentage of free throws made is      Log On


   

Question 1034775: Solve
Jenny has made 35 of 50 free throws attempts in practice.
A.) What is the least number of free throws she can make in a row before her percentage of free throws made is at least 80%?
B.) What is the greatest number of free throws she can miss in a row before her percentage of free throws made falls below 60%?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(a)
+%28+35+%2B+x+%29+%2F+%28+50+%2B+x+%29+=+.8+
+35+%2B+x+=+.8%2A%28+50+%2B+x+%29+
+35+%2B+x+=+40+%2B+.8x+
+.2x+=+5+
+x+=+25+
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If she makes 25 more free throws in a row,
her % will be 80%
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check:
+%28+35+%2B+25+%29+%2F+%28+50+%2B+25+%29+=+.8+
+60+%2F+75+=+.8+
+.8+=+.8+
OK
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(b)
+35+%2F+%28+50+%2B+x+%29+=+.6+
+35+=+.6%2A%28+50+%2B+x+%29+
+35+=+30+%2B+.6x+
+.6x+=+5+
+x+=+8.333+
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If she misses 8 in a row, her % is:
+35+%2F+%28+50+%2B+8+%29+=+35%2F58+
+%2835%2F58%29%2A100+=+60.34+
60.34%
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If she misses 9 in a row, her % is:
+35+%2F+%28+50+%2B+9+%29+=+35%2F59+
+%2835%2F59%29%2A100+=+59.32+
59.32%
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The greatest number of misses before her
% drops below 60% is 8