Question

Luann and Carla receive equal scores on the same test made up of multiple choice questions and an essay louana got 14 multiple choice questions correct and received 24 points for her essay Carla got 16 multiple choice questions correct and receive 14 points for her essay how many points does each multiple-choice question

Answer 1

Each multiple-choice question is of 5 points.

Explanation:

Let x be the scores for each correct multiple choice question and y be total points for the test.

Upon substituting our given information we will get a system of equations as:

`14x+24=y...(1)`

`16x+14=y...(2)`

We are told that both Luann and Carla received equal scores. Upon equating both equations we will get,

`14x+24=16x+14`

`24-14=16x-14x`

`2x=10`

`x=(10)/(2) =5`

Therefore, each multiple-choice question is worth 5 points.