Question

HELP!! PLEASE!! Will fan you if correct.. 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? _________ points

Answer 1

Hello,

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:



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



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



Answer: Each multiple choice question was 5 points

Answer 2

Given:

• Louann and Carla both got the same score on a test
• Louann got 14 Multiple Choice Questions correct and scored 24 points for her essay
• Carla got 16 Multiple Choice Questions correct and scored 14 points for her essay.

To Find: the number of points each multiple choice question was worth.

Solution:

Each multiple choice question was worth 5 points.

Step-by-step explanation:

Let x denote the number of points each multiple choice question was worth.

Now, Louann's total score can be written as
`14x+24` where the first term is the score on the multiple choice questions and the second term is the score on the essay.

And Carla's score can be written as
`16x + 14` where the first term is the score on the multiple choice questions and the second term is the score on the essay.

As both scores were equal,

`14x+24=16x+14\\16x-14x=24-14\\2x=10\\x=5`

Therefore, we see that each multiple choice question was for 5 points.