A group has boys and girls in a 3:2 ratio. If 20% of boys and 30% of girls hold scholarships, what percentage of students do not hold scholarships_________?
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Answer: D. 76
Explanation
Assuming convenient group sizes of thirty boys and twenty girls simplifies percentage calculations for scholarships. Calculating students holding scholarships gives six boys and six girls, leaving twenty-four and fourteen without. Summing the non-scholarship students gives thirty-eight out of fifty total students, which equals seventy-six percent. Ratio word problems allow arbitrary baseline numbers like thirty and twenty to be chosen to simplify percentages. Complementary percentages represent the proportion of a group that does not possess a specific characteristic. Calculating percentages involves dividing the subgroup count by the total group count and multiplying by one hundred.
University financial aid departments track student scholarship distribution statistics across different academic demographic groups. School administrators evaluate scholarship program reach by calculating overall non-recipient student population percentages. Survey analysts compute demographic attribute distributions using proportional subgroup sample expansion techniques. Option A suggests fifty percent which ignores the actual weighted percentage calculations for each gender. Option B suggests seventy-two percent which represents an arithmetic calculation error in non-recipient totals. Option C suggests seventy-five percent which is a close approximation but mathematically incorrect for this group.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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