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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.

AlgebraRatioLinear EquationsWord ProblemProblem Solving
2025/4/21

1. Problem Description

The ratio of boys to girls in a class is 4:54:5. 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 4x4x and the number of girls be 5x5x.
We are given that there are 3 more girls than boys. So,
5x=4x+35x = 4x + 3
Subtract 4x4x from both sides of the equation:
5x−4x=4x+3−4x5x - 4x = 4x + 3 - 4x
x=3x = 3
Number of boys = 4x=4×3=124x = 4 \times 3 = 12
Number of girls = 5x=5×3=155x = 5 \times 3 = 15
Total number of students = Number of boys + Number of girls
Total number of students = 12+15=2712 + 15 = 27

3. Final Answer

The total number of students in the class is 27.

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