Anita's mathematics test had 70 problems carrying equal marks i.e., 10 arithmetic, 30 algebra and 30 geometry. Although she answered 70% of the arithmetic, 40% of the algebra and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% marks. The number of more questions she would have to answer correctly to earn a 60% passing marks is:
- A1
- B5Correct
- C7
- D9
Explanation
Total problems in the test are 70. To pass with 60 percent marks, Anita needs to answer 60 percent of 70 problems correctly. This equals 42 correct answers.
Now, calculate the number of problems Anita actually answered correctly: For Arithmetic: 70 percent of 10 is 7. For Algebra: 40 percent of 30 is 12. For Geometry: 60 percent of 30 is 18.
Total correct answers she got equals 7 plus 12 plus 18, which is 37.
To reach the passing requirement of 42 correct answers, she needed 42 minus 37, which is 5 more correct answers.
Therefore, the correct option is B.
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