173k views
4 votes
The number of boys and girls in a class are in the ratio 4 : 7. There are 15 more girls than boys. find the number of total students in the class

User Vpelletier
by
8.6k points

1 Answer

0 votes

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

User Jaekyung
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.