In a contest, two people will have to answer 90 questions each. They score 2 points for each correct answer. The contest has not ended yet. Each person has already answered 80 questions. Person U has answered 75% of the first 80 questions correctly. Person V has answered 55% of the first 80 questions correctly. What is the minimum number of points that Person U must get from the last 10 questions to win the contest?
|
Person U |
Person V |
Current total score |
120 |
88 |
Additional score if the remaining questions are answered correctly |
+ -10 |
+ 20 |
Final total score |
110 |
108 |
|
Winner |
|
Score that Person U has earned so far
= 75% x 80 x 2
=
75100 x 80 x 2
= 120
Score that Person V has earned so far
= 55% x 80 x 2
=
55100 x 80 x 2
= 88
Remaining questions that each person has to answer
= 90 - 80
= 10
If Person V answers the last 10 questions correctly, the additional score that he will earn
= 10 x 2
= 20
Total score that Person V will earn after answering all the questions
= 88 + 20
= 108
Number of points that Person V is leading Person U by
= 108 - 120
= -12
For Person U to win the contest, the number of points he has to earn
= -12 + 2
= -10
Answer(s): -10