In a contest, two people will have to answer 110 questions each. They score 3 points for each correct answer. The contest has not ended yet. Each person has already answered 80 questions. Person K has answered 50% of the first 80 questions correctly. Person L has answered 55% of the first 80 questions correctly. What is the minimum number of points that Person K must get from the last 30 questions to win the contest?

	Person K	Person L
Current total score	120	132
Additional score if the remaining questions are answered correctly	+ 105	+ 90
Final total score	225	222
	Winner

Score that Person K has earned so far
= 50% x 80 x 3
= ⁵⁰₁₀₀ x 80 x 3
= 120

Score that Person L has earned so far
= 55% x 80 x 3
= ⁵⁵₁₀₀ x 80 x 3
= 132

Remaining questions that each person has to answer
= 110 - 80
= 30

If Person L answers the last 30 questions correctly, the additional score that he will earn
= 30 x 3
= 90

Total score that Person L will earn after answering all the questions
= 132 + 90
= 222

Number of points that Person L is leading Person K by
= 222 - 120
= 102

For Person K to win the contest, the number of points he has to earn
= 102 + 3
= 105

Answer(s): 105