Correct Option (B)
The mathematics test consisted of 70 problems, with each problem carrying equal marks. Assuming each question is worth 1 mark, the total possible marks for the test are 70.
To achieve a 60% passing mark, the required score is calculated as:
Passing Marks = 60% of 70 = (60/100) × 70 = 42 marks.
Anita's performance in each section is detailed as follows:
- Arithmetic: 70% of 10 problems = (70/100) × 10 = 7 problems answered correctly.
- Algebra: 40% of 30 problems = (40/100) × 30 = 12 problems answered correctly.
- Geometry: 60% of 30 problems = (60/100) × 30 = 18 problems answered correctly.
Anita's total marks obtained from correctly answered problems are:
Total Marks Obtained = 7 (Arithmetic) + 12 (Algebra) + 18 (Geometry) = 37 marks.
To determine the number of additional questions Anita needed to answer correctly to reach the passing threshold, the difference between the passing marks and her obtained marks is calculated:
Additional Questions Required = Passing Marks - Total Marks Obtained = 42 - 37 = 5 questions.
Therefore, Anita would have needed to answer 5 more questions correctly to achieve a 60% passing mark.
Incorrect Options:
Options A (1), C (7), and D (9) are incorrect. These values do not align with the precise calculation required to determine the difference between the 60% passing score (42 marks) and Anita's actual score (37 marks). The accurate calculation indicates that 5 additional correct answers were necessary.