Mark wants to improve his free throw percentage in basketball. He has shot 1,250 free throws over the last 20 days. He shot either 50 or 100 free throws a day. During the 20 day period, how many times did Mark shoot 100 free throws for the day?
Let's define variables: x = number of times he threw 50 free throws per day. y = number of times he threw 100 free throws per day. We write the system of equations that adapts to the problem: x + y = 20 50x + 100y = 1250 The solution to the system is: x = 15 y = 5 Note: see attached image. Answer: Mark did shoot 100 free throws for the day about: y = 5 times.