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?

points??

Question

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?
 
   points??

akashdeepdeb · Answer

Let the no. of points each MCQ  = x
So, total no. of points received for right answers =  (no. of right MCQs) * x
Francine got how many points then?
34x + 14

Cheryl got how many points then?
30x + 22 

If they received equal scores. Find x.

anonymous · Answer

Francine=48
Cheryl=52
@AkashdeepDeb?

akashdeepdeb · Answer

How exactly?

anonymous · Answer

doing 34x+14 for Francine
and 30x+22 for Cheryl.

anonymous · Answer

im still confused :/ @AkashdeepDeb

akashdeepdeb · Answer

Well, they have equal no. of points right?

akashdeepdeb · Answer

If I have 10 chocolates and each cost me 10 dollars [hopefully, not ;-)] 
how much did I have to pay in total?

anonymous · Answer

$100

akashdeepdeb · Answer

Yes, now, if I get 34 questions right for which I get x points each. What is my total score?

anonymous · Answer

Im sorry im bad at this and really confused.

anonymous · Answer

@AkashdeepDeb

akashdeepdeb · Answer

Okay, look.
I asked you first, if i had 10 chocos for 10$, I'd have to pay 100$.

Say I get 10 questions right in math for which I get 10 points for each?
Now, what is the total no. of points I have?

anonymous · Answer

100 points.

akashdeepdeb · Answer

How did you get that?

akashdeepdeb · Answer

10 questions * 10 points right?

anonymous · Answer

multiplying 10*10

akashdeepdeb · Answer

In my next test, my math teacher told me he will give me 'x' points. 

['x' has a varying value, it may be anything at once. 10 points, maybe 15 points, maybe even 1000 points. I don't know. So, he told me to consider it as 'x' points only.]

Now, in this new test, I got 34 questions right; for each question right, I got 'x' points. How many total points do I have?

anonymous · Answer

wait how are you suppose to know that?

akashdeepdeb · Answer

Have you learnt about variables yet?

anonymous · Answer

ya

akashdeepdeb · Answer

So just multiply them!

Initially, you took 10 * 10 = 100
Here you take 34 * x = 34x

akashdeepdeb · Answer

this 'x' i talk about, we don't know yet.

anonymous · Answer

soo 34x is my answer????? :P

anonymous · Answer

or what? @AkashdeepDeb