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?

2. Originally Posted by symmetry
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?
$g$ stands for field goals scored in the game

$f$ stands for free throws scored in the game

$t$ stands for three-pointers scored in the game

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

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

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

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

Therefore: $70=7f$

So finally: $\boxed{f=10}$

3. ## ok

I love the way you broke the question down.