Hello,
x= number of points for each multiple choice question correct
L= Louann's score
C= Carla's score
Louann got 14 multiple choice questions correct and 24 points for her essay, so:
[tex]L=14*x+24[/tex]
Carla got 16 multiple choice questions correct and 14 points for her essay, so:
[tex]C=16*x+14[/tex]
But we know that they got the same score, then:
[tex]L=C \\ 14x+24=16x+14 \\ 10=2x \\ \boxed{x=5}[/tex]
Answer: Each multiple choice question was 5 points
