Question 901029: For 2010, the WNBA's top scorer was Diana Taurasi of the Phoenix Mercury. She scored a total of 745 points during the reglular season. The number of two-point field goals Taurasi made was 36 fewer than two times the humber of of three-point field goals she made. The number of free-throws (each worth one point) she made was 61 more than the number of two-point field goals she made. Find how many free throws, two-point field goals and three-point field goals Diana Taurasi made during the 2010 regular season.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! For 2010, the WNBA's top scorer was Diana Taurasi of the Phoenix Mercury. She scored a total of 745 points during the reglular season. The number of two-point field goals Taurasi made was 36 fewer than two times the humber of of three-point field goals she made. The number of free-throws (each worth one point) she made was 61 more than the number of two-point field goals she made. Find how many free throws, two-point field goals and three-point field goals Diana Taurasi made during the 2010 regular season.
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Eq: o + 2t + 3r = 745 points
Quantity: t = 2r - 36
o = t + 61
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Substitute and solve for "t":
t+61 + 2t + 3(t+36)/2 = 745
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3t + 61 + 3(t+36)/2 = 745
6t + 122 + 3t + 108 = 1490
9t + 230 = 1490
9t = 1260
t = 140 (# of 2-pt goals)
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Solve for "r" and for "o"::
r = (36+t)/2 = 176/2 = 88 (# of 3-pt goals)
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o = t + 61 = 201 (# of free throws)
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Cheers,
Stan H.
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