SOLUTION: Slim Johnson was usually the best free-throw shooter on his basketball team. Early in the season, however, he had made only 9 out of 20 shots. By the end of the season, he had made

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Slim Johnson was usually the best free-throw shooter on his basketball team. Early in the season, however, he had made only 9 out of 20 shots. By the end of the season, he had made      Log On


   



Question 1169331: Slim Johnson was usually the best free-throw shooter on his basketball team. Early in the season, however, he had made only 9 out of 20 shots. By the end of the season, he had made all the additional shots he had taken, thereby ending the season with a record of 75%. How many additional shots had he taken? (Algebraic solution only)
Answer by ikleyn(52851) About Me  (Show Source):
You can put this solution on YOUR website!
.

The governing equation is


    %289%2Bx%29%2F%2820%2Bx%29 = 0.75.


It implies


    9 + x = 0.75*(20+x)

    9 + x = 15 + 0.75x

    x - 0.75x = 15 - 9

    0.25x     = 6

        x     = 6%2F0.25 = 24.     ANSWER

Solved.