Final answer:
The question involves calculating the percentage of boys in each class based on provided ratios and percentages. Claire's class has approximately 51.85% boys, Diane's has about 55.56% boys, and Emily's has 54% boys. Diane's class has the highest proportion of boys.
Step-by-step explanation:
The question pertains to comparing the proportion of boys in each of the year 9 classes for three different students. To compare these proportions, we need to calculate the percentage of boys in each class.
Claire has a ratio of boys to girls of 14:13. This means for every 27 students (14 boys + 13 girls), 14 are boys. To find the percentage of boys in Claire's class, we calculate (14/27) × 100, which is approximately 51.85%.
Diane's class consists of 5/9 boys, which is already in a form that can be converted directly to a percentage: (5/9) × 100, which equals approximately 55.56% boys.
For Emily, if 46% are girls, then 54% would be boys, as percentages for boys and girls must add up to 100%.
Comparing the percentages:
- Claire: ~51.85% boys
- Diane: ~55.56% boys
- Emily: 54% boys
Based on these calculations, Diane's class has the highest proportion of boys.