a) 1000
b) 1100
c) 1200
d) 1300
correct answer is: a) 1000
Explanation
The ratio of boys and girls is 8 : 3
The total number of girls is 375
Let the total number of boys be ‘x’
According to the question,
8\ ∶\ 3\ =\ x\ ∶\ 375
\rightarrow\ \frac{8}{3}\ =\ \frac{x}{375}
\rightarrow\ 3x\ =\ 375\times8
\rightarrow\ x\ =\ \frac{375\times8}{3}
\rightarrow\ x\ =\ 1000
\therefore The total number of boys is 1000.
Ans: The number of boys in the school is 1000.
Another variant of this particular question is:
1. If there are 375 girls in a school and the ratio of boys to girls is 8:3, what is the total number of boys in the school?
2. In a school where the ratio of boys to girls is 8:3 and there are 375 girls, determine the total number of boys.
3. Calculate the number of boys in a school given that the ratio of boys to girls is 8:3 and there are 375 girls.
4. Find the number of boys in a school with a boy-to-girl ratio of 8:3 when the total number of girls is 375.
5. If the ratio of boys to girls in a school is 8:3 and there are 375 girls, calculate the number of boys in the school.