The ratio of boys to girls in a class is $4:5$. There are 3 more girls than boys. We need to calculate the total number of students in the class.

1. Problem Description

The ratio of boys to girls in a class is $4:5$. There are 3 more girls than boys. We need to calculate the total number of students in the class.

2. Solution Steps

Let the number of boys be $4x$ and the number of girls be $5x$.

We are given that there are 3 more girls than boys. So,

$5x = 4x + 3$

Subtract $4x$ from both sides of the equation:

$5x - 4x = 4x + 3 - 4x$

$x = 3$

Number of boys = $4x = 4 \times 3 = 12$

Number of girls = $5x = 5 \times 3 = 15$

Total number of students = Number of boys + Number of girls

Total number of students = $12 + 15 = 27$

3. Final Answer

The total number of students in the class is 27.