Thread: Basketball

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?

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?

stands for field goals scored in the game

stands for free throws scored in the game

stands for three-pointers scored in the game

So we know that:

We also know that: and that:

So substitute:

Multiply:

Therefore:

So finally:

I love the way you broke the question down.