Question

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?

Answer 1

Each question had 4 points.

Explanation:

Let the questions be x points each. As both Gretchen and Ezia received equal scores, we can write the equation as:

18x+19=15x+31 (Let the questions be x points each)

Solving for x;

`18x-15x=31-19`

=>
`3x=12`

Dividing both sides by 3;

x = 4

Hence, each question had 4 points.

Answer 2

My solution here is as follows:

The scores were the same, so

18m+19 = 15m+31

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

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!