In a contest, two people will have to answer 80 questions each. They score 4 points for each correct answer. The contest has not ended yet. Each person has already answered 60 questions. Person P has answered 70% of the first 60 questions correctly. Person Q has answered 60% of the first 60 questions correctly. What is the minimum number of points that Person P must get from the last 20 questions to win the contest?

	Person P	Person Q
Current total score	168	144
Additional score if the remaining questions are answered correctly	+ 60	+ 80
Final total score	228	224
	Winner

Score that Person P has earned so far
= 70% x 60 x 4
= ⁷⁰₁₀₀ x 60 x 4
= 168

Score that Person Q has earned so far
= 60% x 60 x 4
= ⁶⁰₁₀₀ x 60 x 4
= 144

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

If Person Q answers the last 20 questions correctly, the additional score that he will earn
= 20 x 4
= 80

Total score that Person Q will earn after answering all the questions
= 144 + 80
= 224

Number of points that Person Q is leading Person P by
= 224 - 168
= 56

For Person P to win the contest, the number of points he has to earn
= 56 + 4
= 60

Answer(s): 60