How many points

Question

A basketball player scored 18 times during one game. She scored a total of 23 points, two for each two-point shot and one for each free throw. How many two-point shots did she make? How many free throws?

Answer 1

 

  X + Y = 18

2x + y = 23

 

Subtracting the first equation FROM the second:

 

  2x - x + y - y = 23 - 18

 

 x = 5

 

She scored 5 baskets and 13 free throws.

That's 5 x 2 + 13 = 10 + 13 = 23 points.