Question

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 1

x = free throws and y = field goals

x + y = 23....x = 23 - y
x + 2y = 34

23 - y + 2y = 34
-y + 2y = 34 - 23
y = 11.....so she made 11 field goals

x + y = 23
x + 11 = 23
x = 23 - 11
x = 12...and she made 12 free throws

Answer 2

11 field goals
12 free throws