Sure, let's solve this step-by-step.
1. Calculate the number of boys at Barlow School:
- We know that [tex]\(\frac{4}{9}\)[/tex] of the students at Barlow School are boys.
- Total students at Barlow School = 873
- Number of boys at Barlow School = [tex]\(\frac{4}{9} \times 873\)[/tex]
2. Calculate the number of girls at Willow School:
- We know that [tex]\(\frac{2}{3}\)[/tex] of the students at Willow School are girls.
- Total students at Willow School = 630
- Number of girls at Willow School = [tex]\(\frac{2}{3} \times 630\)[/tex]
3. Calculate the number of boys at Willow School:
- Total students at Willow School = 630
- Number of girls at Willow School = [tex]\(\frac{2}{3} \times 630\)[/tex]
- Therefore, the number of boys = Total students - Number of girls
- Number of boys at Willow School = 630 - [tex]\(\frac{2}{3} \times 630\)[/tex]
4. Determine which school has the greater number of boys and by how many:
- Let’s compare the number of boys at both schools.
- Number of boys at Barlow School = ???? (exact number we calculated above)
- Number of boys at Willow School = ???? (exact number we calculated above)
If the number of boys at Barlow School is greater than at Willow School, we subtract the number of boys at Willow from the number of boys at Barlow.
If the number of boys at Willow School is greater than at Barlow School, we subtract the number of boys at Barlow from the number of boys at Willow.
From the above calculations:
- Number of boys at Barlow School = [tex]\(388\)[/tex]
- Number of boys at Willow School = [tex]\(210\)[/tex]
Since [tex]\(388 > 210\)[/tex],
- Barlow School has more boys.
- The difference in the number of boys = [tex]\(388 - 210 = 178\)[/tex]
Conclusion:
Barlow School has the greater number of boys than Willow School by 178 students.
