Let's assume each multiple choice question is worth x points.
Since Francine got 34 multiple-choice questions correct, the total number of points she got from the multiple-choice questions is 34x.
Since Cheryl got 30 multiple-choice questions correct, the total number of points she got from the multiple-choice questions is 30x.
Each received equal scores on the test, so 34x + 14 = 30x + 22.
Combining like terms, we get 4x + 14 = 22.
Subtracting 14 from both sides, we get 4x = 8.
Dividing both sides by 4, we get x = 2.
So, each multiple-choice question is worth 2 points. Answer: \boxed{2}.
Francine and Cheryl received equal scores on a test made up of multiple choice questions and an essay. Francine got 34 multiple choice questions correct and received 14 points for her essay. Cheryl got 30 multiple choice questions correct and received 22 points for her essay.
How many points was each multiple choice question worth?
1 answer