Question

The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many more boys than girls are there?

Answer 1

Answer:

Boys: 20

Girls: 16

Step-by-step explanation:

Let common multiple be x

Ratio is 5:4

i.e 5x and 4x

5x+4x = 36

9x=36

x=4

So,

5x=5*4=20

4x=4*4=16

Answer 2

Answer: Number of boys greater than the number of girls are 4.

Step-by-step explanation:

Given : Ratio of boys to girls = 5:4

            Total number of students = 36

To find : How many more boys are there than girls

Solution :

Let the common ratio be x .

⇒ 5x + 4x = 36

⇒ 9x = 36

∴ x = 4

∴ Number of boys in class = 5x = 5 * 4 = 20

∴ Number of girls in class = 4x = 4 * 4 = 16

∴ Number of boys greater than the number of girls are = 20 - 16 = 4

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