Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Louann got 14 multiple choice questions correct and received for her essay. Carla got 16 multiple choice questions correct and received for her essay.

How many points was each multiple choice question worth?



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:

\( L=14*x+24 \)

Carla  got 16 multiple choice questions correct and 14 points for her essay, so:

\( C=16*x+14 \)

But we know that they got the same score, then:

\( L=C \\ 14x+24=16x+14 \\ 10=2x \\ \boxed{x=5} \)

Answer: Each multiple choice question was 5 points


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