To determine the overall student failure rate, we must consider the failure percentages for boys and girls individually, along with their respective proportions within the class.
- Ratio: Indicates a proportional relationship. A 3:2 ratio signifies that for every 3 boys, there are 2 girls.
- Percentage: Expresses a fraction of 100.
- Weighted Average: Given differing counts of boys and girls, a weighted average is necessary to calculate the overall failure rate.
Ratio of boys to girls = 3 : 2
This implies the class is divided into 5 equal parts (3 parts boys + 2 parts girls).
Assuming a total of 100 students for computational ease:
Number of Boys = 60 (calculated as 3/5 of 100)
Number of Girls = 40 (calculated as 2/5 of 100)
Number of Failing Boys = 20% of 60 = 12
Number of Failing Girls = 30% of 40 = 12
Total number of failing students = 12 (boys) + 12 (girls) = 24
Total number of students = 100
\[ \text{Overall Failure Percentage} = \frac{24}{100} \times 100 = 24\% \]
The aggregate percentage of students failing is 24%.
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