An examination consists of 150 questions that are each worth one mark. Shabnam answered 80% of the first 75 questions correctly. What percent of the remaining 75 questions does she need to answer correctly so as to obtain an overall score of 60%?
(A) 20
(B) 40
(C) 50
(D) 60
(E) 70
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An examination consists of 150 questions that are each worth one mark. Shabnam answered
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Mikrislac wrote: ↑Tue Aug 18, 2020 11:23 pmAn examination consists of 150 questions that are each worth one mark. Shabnam answered 80% of the first 75 questions correctly. What percent of the remaining 75 questions does she need to answer correctly so as to obtain an overall score of 60%?
(A) 20
(B) 40
(C) 50
(D) 60
(E) 70
Solution:
We can create the equation:
0.8 x 75 + n/100 x 75 = 0.6 x 150
60 + 3n/4 = 90
3n/4 = 30
3n = 120
n = 40
Answer: B
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