SOLUTION: Mike was given some problem sums to complete. He completed 5/9 of the questions on Monday, 2 questions on Tuesday and 15 fewer questions than 4/11, of the remaining questions on We

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Question 1199746: Mike was given some problem sums to complete. He completed 5/9 of the questions on Monday, 2 questions on Tuesday and 15 fewer questions than 4/11, of the remaining questions on Wednesday. Given that he had 57 questions left to complete on Thursday, find the number of questions Mike was given at first.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!

Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


Let x be the original number of questions.
                solved               left to solve
    -------------------------------------------
     Monday     (5/9)x               (4/9)x
     Tuesday      2                  (4/9)x-2
     Wednesday  (4/11)((4/9)x-2)-15   57
     Thursday    57                    0

All the questions were finished by Thursday:








ANSWER: 153

CHECK:
start: 153
Monday: finished (5/9)153 = 85; remaining 153-85 = 68
Tuesday: finished 2; remaining 68-2 = 66
Wednesday: finished (4/11)(66)-15 = 24-15 = 9; remaining 66-9 = 57
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