Question

1. if the ratio of boys to girls in a school is 4:5, and there are 360 students in total, how many are girls?

Explanation:

Identify the given values

We are given:

• Ratio of boys to girls is \(4:5\).
• Total number of students is \(360\).

Determine the total parts

Find the sum of the ratio parts.

$$ 4 + 5 = 9 \text{ parts} $$

Find the value of one part

Divide the total students by total parts.
Using Linear Equations concepts:

$$ 9x = 360 $$

$$ x = \frac{360}{9} = 40 \text{ students per part} $$

Calculate the number of girls

Multiply the girls' ratio parts by one part.

$$ 5 \times 40 = 200 \text{ girls} $$

Answer:

200