SOLUTION: The total score in an Iona Prep basketball game was 92 points. This was a combination of 2 point shots and 3 point shots. There were a total of 43 scoring events. How many were

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The total score in an Iona Prep basketball game was 92 points. This was a combination of 2 point shots and 3 point shots. There were a total of 43 scoring events. How many were       Log On


   

Question 1172612: The total score in an Iona Prep basketball game was 92 points. This was a combination of 2 point shots and 3 point shots. There were a total of 43 scoring events. How many were 2 point shots and how many were 3 point shots?
Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.

    2x + 3*(43-x) = 92  points, in total.


From the equation,


    x = %2892-3%2A43%29%2F%282+-+3%29 = 37.


ANSWER.  37 2-point shots and  43-37 = 6 3-point shots.


CHECK.  37*2 + 6*3 = 92 points. in total.  ! Correct !

Solved.