In a quiz, two people will have to answer 80 questions each. They score 2 points for each correct answer. The quiz has not ended yet. Each person has already answered 70 questions. Person X has answered 60% of the first 70 questions correctly. Person Y has answered 60% of the first 70 questions correctly. What is the minimum number of points that Person X must get from the last 10 questions to win the quiz?

	Person X	Person Y
Current total score	84	84
Additional score if the remaining questions are answered correctly	+ 22	+ 20
Final total score	106	104
	Winner

Score that Person X has earned so far
= 60% x 70 x 2
= ⁶⁰₁₀₀ x 70 x 2
= 84

Score that Person Y has earned so far
= 60% x 70 x 2
= ⁶⁰₁₀₀ x 70 x 2
= 84

Remaining questions that each person has to answer
= 80 - 70
= 10

If Person Y answers the last 10 questions correctly, the additional score that he will earn
= 10 x 2
= 20

Total score that Person Y will earn after answering all the questions
= 84 + 20
= 104

Number of points that Person Y is leading Person X by
= 104 - 84
= 20

For Person X to win the quiz, the number of points he has to earn
= 20 + 2
= 22

Answer(s): 22