SOLUTION: John sat for a Mathematics test. In the first 30 minutes, he had completed 1/4 of the test. In the next hour, he had completed another 33 questions in the ratio of the number o

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Question 1186022: John sat for a Mathematics test. In the first 30 minutes, he
had completed 1/4 of the test. In the next hour, he had
completed another 33 questions in the ratio of the number
of questions that were answered to those that were
unanswered became 4:1.
How many questions did he answer altogether?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52864)   (Show Source): You can put this solution on YOUR website!
.
John sat for a Mathematics test. In the first 30 minutes, he
had completed 1/4 of the test. In the next hour, he had
completed another 33 questions in the ratio of the number
of questions that were answered to those that were
unanswered became 4:1.
How many questions did he answer altogether ?
~~~~~~~~~~~~~~~~~~~ 

Let x be the total number of questions in the test.


During first 30 minutes,   questions were answered.


Then 33 additional questions were answered.


Now we have    questions answered and  x -  =   questions unanswered.


The ratio equation is


     =  = 4.


It means that


     = ,

or

     = 3x - 132.

    33 + 132 = 

    165 = 

     x  =  = 60.


So, 60 questions were there in the test, in all.


Altogether, he answered 60/4 + 33 = 15 + 33 = 48 questions, so far.    ANSWER

Solved.



Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!
John sat for a Mathematics test. In the first 30 minutes, he
had completed 1/4 of the test. In the next hour, he had
completed another 33 questions in the ratio of the number
of questions that were answered to those that were
unanswered became 4:1.
How many questions did he answer altogether?
Let number of questions be Q
After completing ¼ of the test, he had ¾  of Q, or  left to do
He then completed 33 more questions, for a total of , and had  left to do
We then get: 
             ----- Cross-multiplying
            
            12Q - Q = 33(4) + 132(4) ------ Multiplying by LCD, 4
            11Q = 165(4)
            Number of questions, or 

            Number of questions answered =

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