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SAT® Math

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Scoring Points in Basketball

SATMAT-JGKFJL

The total number of points scored in a basketball game is determined by the number of successfully "made" shots consisting of: free-throws, which are worth $1$ point each; regular field goals, which are worth $2$ points each; and three-point field goals, which are worth $3$ points each. If the equation:

$$ T = a + 2b + 3c $$

...describes the total number of points scored by both teams in a game, then which of the following MUST be true?

A

$ \cfrac { 1 }{ 3 } $of the points scored were from free-throws.

B

Twice as many regular field goals were successfully "made" than free-throws.

C

There were $ a + b + c $ successfully "made" shots in this game.

D

$ 3c $ represents the number of successfully "made" three-point field goals.