Answer:
Each multiple-choice question is of 5 points.
Step-by-step explanation:
Let x be the scores for each correct multiple choice question and y be total points for the test.
Upon substituting our given information we will get a system of equations as:
[tex]14x+24=y...(1)[/tex]
[tex]16x+14=y...(2)[/tex]
We are told that both Luann and Carla received equal scores. Upon equating both equations we will get,
[tex]14x+24=16x+14[/tex]
[tex]24-14=16x-14x[/tex]
[tex]2x=10[/tex]
[tex]x=\frac{10}{2} =5[/tex]
Therefore, each multiple-choice question is worth 5 points.