In a test, two people will have to answer 110 questions each. They score 4 points for each correct answer. The test has not ended yet. Each person has already answered 100 questions. Person M has answered 45% of the first 100 questions correctly. Person N has answered 50% of the first 100 questions correctly. What is the minimum number of points that Person M must get from the last 10 questions to win the test?
|
Person M |
Person N |
Current total score |
180 |
200 |
Additional score if the remaining questions are answered correctly |
+ 64 |
+ 40 |
Final total score |
244 |
240 |
|
Winner |
|
Score that Person M has earned so far
= 45% x 100 x 4
=
45100 x 100 x 4
= 180
Score that Person N has earned so far
= 50% x 100 x 4
=
50100 x 100 x 4
= 200
Remaining questions that each person has to answer
= 110 - 100
= 10
If Person N answers the last 10 questions correctly, the additional score that he will earn
= 10 x 4
= 40
Total score that Person N will earn after answering all the questions
= 200 + 40
= 240
Number of points that Person N is leading Person M by
= 240 - 180
= 60
For Person M to win the test, the number of points he has to earn
= 60 + 4
= 64
Answer(s): 64