Tina Thompson scored 34 points in a recent basketball game without making any 3

Tina Thompson scored 34 points in a recent basketball game without
making any 3-point shots. She scored 23 times, making several free
throws worth 1 point each and several field goals worth two points each.
How many free throws did she make? How many 2-point field goals did
she make?
answer: 12 free throws, 11 field goals