In a basketball game, the Bulls scored a total of 103 points and made 3 times as many field goals (2 points each) as FREE throws (1 point each). They also made 11, 3-point baskets. How many field goals did they have?

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- Jan 12th 2007, 01:13 PMsymmetryBasketball
In a basketball game, the Bulls scored a total of 103 points and made 3 times as many field goals (2 points each) as FREE throws (1 point each). They also made 11, 3-point baskets. How many field goals did they have?

- Jan 12th 2007, 01:22 PMQuick
$\displaystyle g$ stands for field

**g**oals scored in the game

$\displaystyle f$ stands for**f**ree throws scored in the game

$\displaystyle t$ stands for**t**hree-pointers scored in the game

So we know that: $\displaystyle 103=2g+f+3t$

We also know that: $\displaystyle g=3f$ and that: $\displaystyle t=11$

So substitute: $\displaystyle 103=2(3f)+f+3(11)$

Multiply: $\displaystyle 103=6f+f+33$

Therefore: $\displaystyle 70=7f$

So finally: $\displaystyle \boxed{f=10}$ - Jan 12th 2007, 04:18 PMsymmetryok
I love the way you broke the question down.