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?
34m+14 = 30m+22
To find out how many points each multiple choice question is worth, we need to divide the total number of points received for multiple choice questions by the number of multiple choice questions answered correctly by both Francine and Cheryl.
First, let's calculate the total number of multiple choice questions answered correctly by both Francine and Cheryl:
Francine answered 34 multiple choice questions correctly.
Cheryl answered 30 multiple choice questions correctly.
So the total number of multiple choice questions answered correctly by both is:
34 + 30 = 64
Now, let's find the total number of points received for the multiple choice questions. Since both Francine and Cheryl scored the same on the test, we can use either of their scores for this calculation. Let's use Francine's score:
Francine got 34 multiple choice questions correct.
Let's assume each multiple choice question is worth "x" points.
So the total points received for multiple choice questions can be calculated as:
34 * x = ?
To find the value of "x" (the number of points each multiple choice question is worth), we need to know the total points received for multiple choice questions. But that information is missing from the given question. If you have additional information or if the total points received for multiple choice questions is mentioned elsewhere, you can substitute that value and solve for x using the equation above.
However, without the total points received for multiple choice questions, it is not possible to determine how many points each multiple choice question is worth with the given information.