In a contest, two people will have to answer 80 questions each. They score 2 points for each correct answer. The contest has not ended yet. Each person has already answered 60 questions. Person Q has answered 50% of the first 60 questions correctly. Person R has answered 55% of the first 60 questions correctly. What is the minimum number of points that Person Q must get from the last 20 questions to win the contest?

	Person Q	Person R
Current total score	60	66
Additional score if the remaining questions are answered correctly	+ 48	+ 40
Final total score	108	106
	Winner

Score that Person Q has earned so far
= 50% x 60 x 2
= ⁵⁰₁₀₀ x 60 x 2
= 60

Score that Person R has earned so far
= 55% x 60 x 2
= ⁵⁵₁₀₀ x 60 x 2
= 66

Remaining questions that each person has to answer
= 80 - 60
= 20

If Person R answers the last 20 questions correctly, the additional score that he will earn
= 20 x 2
= 40

Total score that Person R will earn after answering all the questions
= 66 + 40
= 106

Number of points that Person R is leading Person Q by
= 106 - 60
= 46

For Person Q to win the contest, the number of points he has to earn
= 46 + 2
= 48

Answer(s): 48