Going into the final game, Duke is so close to breaking the school's record for most points scored in a basketball season. He only needs 17 more points to tie the record. By the end of the game, Duke breaks the record by 5 points. The old record was 257 points. In the final game Duke made 5 free throws (worth one point), and 4 regular baskets (worth two points), and some three-pointers. Normally, he scores 2 three-pointers a game. How many more three-pointers did he score in the final game compared to his normal amount? Let's think step by step and output the final answer after "####".
user
Duke scored 22 points in the final game because 17 + 5 = <<17+5=22>>22
He scored 5 points of free-throws, because 5 x 1 = <<5*1=5>>5
He scored 8 points of regular baskets because 4 x 2 = <<4*2=8>>8
He made 9 points of three-pointers because 22 - 5 - 8 = <<22-5-8=9>>9
He scored 3 three-pointers in the final game because 9 / 3 = <<9/3=3>>3
Duke scored 1 more than normal because 3 - 2 = <<3-2=1>>1
#### 1
Going into the final game, Duke is so close to breaking the school's record for most points scored in a basketball season. He only needs 17 more points to tie the record. By the end of the game, Duke breaks the record by 5 points. The old record was 257 points. In the final game Duke made 5 free throws (worth one point), and 4 regular baskets (worth two points), and some three-pointers. Normally, he scores 2 three-pointers a game. How many more three-pointers did he score in the final game compared to his normal amount?
train