Given:
To Find: the number of points each multiple choice question was worth.
Solution:
Each multiple choice question was worth 5 points.
Explanation:
Let x denote the number of points each multiple choice question was worth.
Now, Louann's total score can be written as [tex]14x+24[/tex] where the first term is the score on the multiple choice questions and the second term is the score on the essay.
And Carla's score can be written as [tex]16x + 14[/tex] where the first term is the score on the multiple choice questions and the second term is the score on the essay.
As both scores were equal,
[tex]14x+24=16x+14\\16x-14x=24-14\\2x=10\\x=5[/tex]
Therefore, we see that each multiple choice question was for 5 points.
