Gretchen and Ezia received equal scores on a test made up of multiple choice questions and an essay. Gretchen got 18 multiple choice questions correct and received 19 points for her essay. Ezia got 15 multiple choice questions correct and received 31 points for her essay.


How many points was each multiple choice question worth?


____________ points

The scores were the same, so

18m+19 = 15m+31

Now solve for m, the # points for each multiple-choice question.

3m=12

12

so whats the ans?

To find out how many points each multiple choice question is worth, we need to calculate the total points earned for the multiple choice questions.

Gretchen got 18 multiple choice questions correct, so she earned a total of 18*x points, where 'x' represents the number of points each multiple choice question is worth.

Ezia got 15 multiple choice questions correct, so she earned a total of 15*x points.

We can set up an equation using this information:

18*x + 19 = 15*x + 31

To solve this equation, we will isolate 'x' on one side of the equation.

18*x - 15*x = 31 - 19

3*x = 12

Dividing both sides of the equation by 3:

x = 4

Therefore, each multiple choice question is worth 4 points.