Answer:
The number of total students in the class is 55
Explanation:
We will use the ratio method to solve the question
∵ The number of boys and girls in a class are in the ratio 4: 7
∵ There are 15 more girls than boys
→ That means the difference between them is 15
∵ The difference between the terms of their ratio = 7 - 4 = 3
→ By using the ratio method
→ boy : girl : difference
→ 4 : 7 : 3
→ x : y : 15
→ By using cross multiplication
∵ x × 3 = 4 × 15
∴ 3x = 60
→ Divide both sides by 3
∴ x = 20
∵ y × 3 = 7 × 15
∴ 3y = 105
→ Divide both sides by 3
∴ y = 35
∵ x represents the number of boys
∴ The number of boys is 20
∵ y represents the number of girls
∴ The number of girls is 35
∴ The total number of students = 20 + 35 = 55
∴ The number of total students in the class is 55