Question

A test is worth 50 points. Multiple-choice questions are worth 1 point, and short-answer questions are worth 3 points. If the test has 20 questions, how many multiple-choice questions are there?
A. t for test, q for questions
B. m for multiple choice, s for short answer
C. s for short answer, t for test
D. p for points, m for multiple choice

apex mcr

Answer 1

Use the following formula to find the answer to this question: 

S * Q + M * Q = P 

Representations: 

S = The amount of points for short-answer questions. 

M = The amount of points for multiple-choice questions. 

Q = Number of questions for each of the type of questions that add up to the total number of questions on the test (20 questions). 

P = Total points on the test. 

Since there is a total of 50 points on the 20 question test, you would need to divide up the amount of questions there are for each of the type there are on the test, short-answer, and multiple-choice. 

3 * Q + 1 * Q = P 

Now find how many of the type of questions there are out of 20 questions on the test that would add up to the total number of points on the test. 

3 * Q + 1 * Q = 50 

(15 + 5 = 20 questions on the test, 15 and 5 can be used for the number of questions for each type of question on the test). 

3 * 15 + 1 * 5 = 50 

45 + 5 = 50 

50 = 50 

So, your total number of multiple choice questions are: 5. 
And, your total number of short answer questions are: 15. 

I would go with D. for your answer. I may be wrong. 

I hope this helps. 

~ Notorious Sovereign