SOLUTION: The total points that a basketball team scored was 96. If there were two and a half times as many field goals as free throws, how many of each were there? (Field goals count 2 poin

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Question 163938This question is from textbook Algebra and Trigonometry
: The total points that a basketball team scored was 96. If there were two and a half times as many field goals as free throws, how many of each were there? (Field goals count 2 points and free throws 1 point. There are no 3 point field goals.) This question is from textbook Algebra and Trigonometry

Answer by stanbon(75887) About Me  (Show Source):
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The total points that a basketball team scored was 96. If there were two and a half times as many field goals as free throws, how many of each were there? (Field goals count 2 points and free throws 1 point. There are no 3 point field goals.)
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Let # of free throws by "x"; number of points will be "x" also.
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# of field goals is (5/2)x; number of points will be 2[(5/2)x] = 5x.
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EQUATION:
x + 5x = 96
6x = 96
x = 16 (# of free throws)
(5/2)x = (5/2)*16 = 5*8 = 40 (# of field goals)
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Cheers,
Stan H.