The ratio of boys to girls in a class is 4:5 there are 3 more girls than boys. calculate total number of student in the class please solve and explain step by step

Sure, let's solve this step by step.

Step 1: Understand the problem The ratio of boys to girls is 4:5. This means for every 4 boys, there are 5 girls. We also know that there are 3 more girls than boys.

Step 2: Set up the equations Let's denote the number of boys as 4x and the number of girls as 5x. According to the problem, there are 3 more girls than boys. So we can set up the following equation:

5x = 4x + 3

Step 3: Solve the equation Subtract 4x from both sides of the equation to isolate x:

5x - 4x = 3 x = 3

Step 4: Find the number of boys and girls Substitute x = 3 back into the expressions for the number of boys and girls:

Number of boys = 4x = 43 = 12 Number of girls = 5x = 53 = 15

Step 5: Find the total number of students The total number of students is the sum of the number of boys and girls:

Total number of students = Number of boys + Number of girls = 12 + 15 = 27

So, there are 27 students in the class.