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 90 questions. Person V has answered 55% of the first 90 questions correctly. Person W has answered 55% of the first 90 questions correctly. What is the minimum number of points that Person V must get from the last 20 questions to win the test?
|
Person V |
Person W |
Current total score |
198 |
198 |
Additional score if the remaining questions are answered correctly |
+ 84 |
+ 80 |
Final total score |
282 |
278 |
|
Winner |
|
Score that Person V has earned so far
= 55% x 90 x 4
=
55100 x 90 x 4
= 198
Score that Person W has earned so far
= 55% x 90 x 4
=
55100 x 90 x 4
= 198
Remaining questions that each person has to answer
= 110 - 90
= 20
If Person W answers the last 20 questions correctly, the additional score that he will earn
= 20 x 4
= 80
Total score that Person W will earn after answering all the questions
= 198 + 80
= 278
Number of points that Person W is leading Person V by
= 278 - 198
= 80
For Person V to win the test, the number of points he has to earn
= 80 + 4
= 84
Answer(s): 84