SOLUTION: 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 24 points for her e

Question 1187978: 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 24 points for her essay. Carla got 16 multiple choice questions correct and received 14 points for her essay.
How many points was each multiple choice question worth?

Answer by ikleyn(52877) (Show Source): You can put this solution on YOUR website!
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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 24 points for her essay.
Carla got 16 multiple choice questions correct and received 14 points for her essay.
How many points was each multiple choice question worth?
~~~~~~~~~~~~~~

Let x be the number of points per each multiple choice question.


In total, Louann received 14x + 24 points;

           Carla received 16x + 14 points.


Their points are equal


    14x + 24 = 16x + 14,

or

    24 - 14 = 16x - 14x

       10   = 2x

        x   = 10/2 = 5.


ANSWER.  Each multiple choice question is worth 5 points.

Solved.

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