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An examination consists of 150 questions that are each worth one mark. Shabnam answered

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by Mikrislac » Tue Aug 18, 2020 11:23 pm
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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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Re: An examination consists of 150 questions that are each worth one mark. Shabnam answered

by Scott@TargetTestPrep » Sat Aug 22, 2020 11:01 am
Mikrislac wrote: ↑
Tue Aug 18, 2020 11:23 pm
 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

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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