f = foul shots , d = two pointers , t = three pointers
f + 2d + 3t = 65
t = f + 1
d = f + 7
substituting ... f + 2f + 14 + 3f + 3 = 65
...solve for f , then substitute back to find t and d
In a basketball tournament, the Titans defeated the Panthers by a score of 65 to 53. The Titans won by scoring a combination of one-point free throws, two-point and three-point field goals. The number of free throws was one less than the number of three-point field goals and 7 less than the number of two-point goals. Find the combination of scores that the Titans scored to win the tournament.
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2 answers