In a contest, two people will have to answer 120 questions each. They score 3 points for each correct answer. The contest has not ended yet. Each person has already answered 100 questions. Person J has answered 70% of the first 100 questions correctly. Person K has answered 65% of the first 100 questions correctly. What is the minimum number of points that Person J must get from the last 20 questions to win the contest?
|
Person J |
Person K |
Current total score |
210 |
195 |
Additional score if the remaining questions are answered correctly |
+ 48 |
+ 60 |
Final total score |
258 |
255 |
|
Winner |
|
Score that Person J has earned so far
= 70% x 100 x 3
=
70100 x 100 x 3
= 210
Score that Person K has earned so far
= 65% x 100 x 3
=
65100 x 100 x 3
= 195
Remaining questions that each person has to answer
= 120 - 100
= 20
If Person K answers the last 20 questions correctly, the additional score that he will earn
= 20 x 3
= 60
Total score that Person K will earn after answering all the questions
= 195 + 60
= 255
Number of points that Person K is leading Person J by
= 255 - 210
= 45
For Person J to win the contest, the number of points he has to earn
= 45 + 3
= 48
Answer(s): 48