In a test, two people will have to answer 90 questions each. They score 4 points for each correct answer. The test has not ended yet. Each person has already answered 80 questions. Person H has answered 70% of the first 80 questions correctly. Person J has answered 65% of the first 80 questions correctly. What is the minimum number of points that Person H must get from the last 10 questions to win the test?
|
Person H |
Person J |
Current total score |
224 |
208 |
Additional score if the remaining questions are answered correctly |
+ 28 |
+ 40 |
Final total score |
252 |
248 |
|
Winner |
|
Score that Person H has earned so far
= 70% x 80 x 4
=
70100 x 80 x 4
= 224
Score that Person J has earned so far
= 65% x 80 x 4
=
65100 x 80 x 4
= 208
Remaining questions that each person has to answer
= 90 - 80
= 10
If Person J answers the last 10 questions correctly, the additional score that he will earn
= 10 x 4
= 40
Total score that Person J will earn after answering all the questions
= 208 + 40
= 248
Number of points that Person J is leading Person H by
= 248 - 224
= 24
For Person H to win the test, the number of points he has to earn
= 24 + 4
= 28
Answer(s): 28