In a contest, two people will have to answer 120 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 65% of the first 100 questions correctly. Person M has answered 60% of the first 100 questions correctly. What is the minimum number of points that Person L must get from the last 20 questions to win the contest?
|
Person L |
Person M |
Current total score |
260 |
240 |
Additional score if the remaining questions are answered correctly |
+ 64 |
+ 80 |
Final total score |
324 |
320 |
|
Winner |
|
Score that Person L has earned so far
= 65% x 100 x 4
=
65100 x 100 x 4
= 260
Score that Person M has earned so far
= 60% x 100 x 4
=
60100 x 100 x 4
= 240
Remaining questions that each person has to answer
= 120 - 100
= 20
If Person M answers the last 20 questions correctly, the additional score that he will earn
= 20 x 4
= 80
Total score that Person M will earn after answering all the questions
= 240 + 80
= 320
Number of points that Person M is leading Person L by
= 320 - 260
= 60
For Person L to win the contest, the number of points he has to earn
= 60 + 4
= 64
Answer(s): 64