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Stephen's mathematics test had 85 problems, which contains 20 algebra, 30 statistics and 35 geometry problems. He answered 70% of algebra, 40% of the statistics and 60% of geometry problems correctly. He did not pass the test because he got less than 60% of the problem correct. How many more questions he would have needed to answer correctly to earn 60% passing grade?
  • a)
    5
  • b)
    4
  • c)
    1
  • d)
    3
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Stephens mathematics test had 85 problems, which contains 20 algebra, ...
Understanding the Problem
Stephens mathematics test consists of 85 problems divided into three categories:
- 20 Algebra problems
- 30 Statistics problems
- 35 Geometry problems
He answered a certain percentage of each category correctly.
Correct Answers Breakdown
- Algebra: 70% of 20 = 0.7 * 20 = 14 correct answers
- Statistics: 40% of 30 = 0.4 * 30 = 12 correct answers
- Geometry: 60% of 35 = 0.6 * 35 = 21 correct answers
Calculating Total Correct Answers
Now, let's sum up the correct answers:
- Total Correct = 14 (Algebra) + 12 (Statistics) + 21 (Geometry) = 47 correct answers
Determining the Passing Criteria
To pass the test, Stephens needs to score at least 60% of the total problems:
- Total Problems = 85
- 60% of 85 = 0.6 * 85 = 51 correct answers needed to pass
Calculating the Deficit
To find out how many more correct answers he needed:
- Needed Correct Answers = 51 (passing score) - 47 (actual score) = 4
Conclusion
Thus, Stephens needed 4 more correct answers to achieve the passing grade of 60%. Hence, the correct option is b) 4.
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Stephens mathematics test had 85 problems, which contains 20 algebra, 30 statistics and 35 geometry problems. He answered 70% of algebra, 40% of the statistics and 60% of geometry problems correctly. He did not pass the test because he got less than 60% of the problem correct. How many more questions he would have needed to answer correctly to earn 60% passing grade?a)5b)4c)1d)3Correct answer is option 'B'. Can you explain this answer?
Question Description
Stephens mathematics test had 85 problems, which contains 20 algebra, 30 statistics and 35 geometry problems. He answered 70% of algebra, 40% of the statistics and 60% of geometry problems correctly. He did not pass the test because he got less than 60% of the problem correct. How many more questions he would have needed to answer correctly to earn 60% passing grade?a)5b)4c)1d)3Correct answer is option 'B'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Stephens mathematics test had 85 problems, which contains 20 algebra, 30 statistics and 35 geometry problems. He answered 70% of algebra, 40% of the statistics and 60% of geometry problems correctly. He did not pass the test because he got less than 60% of the problem correct. How many more questions he would have needed to answer correctly to earn 60% passing grade?a)5b)4c)1d)3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Stephens mathematics test had 85 problems, which contains 20 algebra, 30 statistics and 35 geometry problems. He answered 70% of algebra, 40% of the statistics and 60% of geometry problems correctly. He did not pass the test because he got less than 60% of the problem correct. How many more questions he would have needed to answer correctly to earn 60% passing grade?a)5b)4c)1d)3Correct answer is option 'B'. Can you explain this answer?.
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