To determine how many boys are in the school, follow these steps:
1. Understand the ratio: The ratio of boys to girls is given as 3:5. This means for every 3 boys, there are 5 girls.
2. Identify the number of girls: We are given that there are 60 girls in the school.
3. Set up the proportion: According to the ratio, the number of boys divided by the number of girls should be equal to 3 divided by 5. So, let [tex]\( B \)[/tex] be the number of boys. We can set up the following proportion:
[tex]\[
\frac{B}{60} = \frac{3}{5}
\][/tex]
4. Solve the proportion: To find the value of [tex]\( B \)[/tex], you can cross-multiply and solve for [tex]\( B \)[/tex]:
[tex]\[
B \times 5 = 60 \times 3
\][/tex]
Simplifying this:
[tex]\[
5B = 180
\][/tex]
5. Isolate [tex]\( B \)[/tex]: Divide both sides of the equation by 5 to solve for [tex]\( B \)[/tex]:
[tex]\[
B = \frac{180}{5} = 36
\][/tex]
So, there are 36 boys in the school. The correct answer is:
(a) 36 boys
