On a test consisting of 80 questions, Nasir answered 75% of the first 60 questions correctly. What percent of the other 20 questions does the need to answer correctly for his grade on the entire examination to be 80%?
Solution
Correct Answer: Option C
To solve this problem, we can break it down step by step:
1. First, find 80% of 80:
80% of 80 = (80 * 80) / 100 = 64
2. Next, calculate how many questions the person needs to answer correctly to achieve a total of 64 questions. Since they answered 75% of 60 questions correctly, we can calculate the number of correct answers:
(75/100) * 60 = 45 questions answered correctly.
3. Now, calculate the remaining questions they need to answer correctly to reach a total of 64 questions:
64 - 45 = 19 questions
4. Finally, calculate the percentage of questions they need to answer correctly out of the remaining 20 questions to achieve 95%:
(19/20) * 100 = 95%
So, the person needs to answer 19 out of the remaining 20 questions correctly to achieve a total of 64 questions and a 95% success rate.
1. First, find 80% of 80:
80% of 80 = (80 * 80) / 100 = 64
2. Next, calculate how many questions the person needs to answer correctly to achieve a total of 64 questions. Since they answered 75% of 60 questions correctly, we can calculate the number of correct answers:
(75/100) * 60 = 45 questions answered correctly.
3. Now, calculate the remaining questions they need to answer correctly to reach a total of 64 questions:
64 - 45 = 19 questions
4. Finally, calculate the percentage of questions they need to answer correctly out of the remaining 20 questions to achieve 95%:
(19/20) * 100 = 95%
So, the person needs to answer 19 out of the remaining 20 questions correctly to achieve a total of 64 questions and a 95% success rate.
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