In a test, two people will have to answer 90 questions each. They score 3 points for each correct answer. The test has not ended yet. Each person has already answered 80 questions. Person E has answered 45% of the first 80 questions correctly. Person F has answered 50% of the first 80 questions correctly. What is the minimum number of points that Person E must get from the last 10 questions to win the test?

	Person E	Person F
Current total score	108	120
Additional score if the remaining questions are answered correctly	+ 45	+ 30
Final total score	153	150
	Winner

Score that Person E has earned so far
= 45% x 80 x 3
= ⁴⁵₁₀₀ x 80 x 3
= 108

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

Remaining questions that each person has to answer
= 90 - 80
= 10

If Person F answers the last 10 questions correctly, the additional score that he will earn
= 10 x 3
= 30

Total score that Person F will earn after answering all the questions
= 120 + 30
= 150

Number of points that Person F is leading Person E by
= 150 - 108
= 42

For Person E to win the test, the number of points he has to earn
= 42 + 3
= 45

Answer(s): 45