In a quiz, two people will have to answer 110 questions each. They score 3 points for each correct answer. The quiz has not ended yet. Each person has already answered 100 questions. Person T has answered 65% of the first 100 questions correctly. Person U has answered 60% of the first 100 questions correctly. What is the minimum number of points that Person T must get from the last 10 questions to win the quiz?
|
Person T |
Person U |
Current total score |
195 |
180 |
Additional score if the remaining questions are answered correctly |
+ 18 |
+ 30 |
Final total score |
213 |
210 |
|
Winner |
|
Score that Person T has earned so far
= 65% x 100 x 3
=
65100 x 100 x 3
= 195
Score that Person U has earned so far
= 60% x 100 x 3
=
60100 x 100 x 3
= 180
Remaining questions that each person has to answer
= 110 - 100
= 10
If Person U answers the last 10 questions correctly, the additional score that he will earn
= 10 x 3
= 30
Total score that Person U will earn after answering all the questions
= 180 + 30
= 210
Number of points that Person U is leading Person T by
= 210 - 195
= 15
For Person T to win the quiz, the number of points he has to earn
= 15 + 3
= 18
Answer(s): 18