SOLUTION: there are 180 multiple choice question in test.a candidate gets 4 marks for every correct ans and for every unattempted or wrongly answerd question one mark is deducted from total

Algebra.Com
Question 826285: there are 180 multiple choice question in test.a candidate gets 4 marks for every correct ans and for every unattempted or wrongly answerd question one mark is deducted from total score of correct answer.it a candidate scired 450 marks in the test.how many question did he sns correctly.
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
let x = the number of questions answered correctly, then:
180-x = the number of unattempted or wrongly answered questions.

Points earned for the x questions answered correctly = 4x
Points deducted from the 180-x unattempted or wrongly
      answered questions = -1(180-x).

4x - 1(180-x) = 450

 4x - 180 + x = 450
   
     5x - 180 = 450

           5x = 630

            x = 126

Number of questions answered correctly = 126
number of unattempted or wrongly answered questions = 180-126 = 54

Checking 

4×126 = 504 for 126 questions answered correctly
-1×54 = -54 for 54 unattempted or wrongly answered questions
------------------------------------------------------------
       450 = his score  (that checks!)

Edwin
RELATED QUESTIONS

In a multiple choice test, two marks are given for each correct answer and one mark is... (answered by stanbon)
emma is doing a multiple choice test of 50 questions. she gets 2 marks for every question (answered by solver91311)
In a test there are ten multiple choice questions. For each question there is a choice... (answered by stanbon)
Sam's teacher gives a warm-up question every day. When it is a true-false question, he... (answered by ikleyn)
There are 20 questions in a short test. 5 marks are awarded for every correct answer, but (answered by tsewaitung)
In a test, Dora has answered only 4/5 of the questions and 3 of them are wrong. It is... (answered by Theo)
In a test there are 3 multiple choice questions, each with 4 choices. A student randomly... (answered by Boreal)
in a examination one marks is awarded for every correct as and 1/4 marks is deducted for... (answered by JBarnum)
A chimp is taking a multiple-choice test. Of course, the chimp can't read and is guessing (answered by stanbon)