In a contest, two people will have to answer 110 questions each. They score 4 points for each correct answer. The contest has not ended yet. Each person has already answered 100 questions. Person L has answered 55% of the first 100 questions correctly. Person M has answered 50% of the first 100 questions correctly. What is the minimum number of points that Person L must get from the last 10 questions to win the contest?
|
Person L |
Person M |
Current total score |
220 |
200 |
Additional score if the remaining questions are answered correctly |
+ 24 |
+ 40 |
Final total score |
244 |
240 |
|
Winner |
|
Score that Person L has earned so far
= 55% x 100 x 4
=
55100 x 100 x 4
= 220
Score that Person M 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 M answers the last 10 questions correctly, the additional score that he will earn
= 10 x 4
= 40
Total score that Person M will earn after answering all the questions
= 200 + 40
= 240
Number of points that Person M is leading Person L by
= 240 - 220
= 20
For Person L to win the contest, the number of points he has to earn
= 20 + 4
= 24
Answer(s): 24