Question

The ratio of boys to girls in class VII of a school is 2: 3. If the number of boys is 16, find the

number of girls in the class​

Answer 1

Answer:

Let the number of boys be 7x and that of girls be 5x.

According to the given condition, we have

Number of boys = Number of girls +8

⇒7x=5x+8

⇒7x−5x=8 ....[Transposing 5x to LHS]

⇒2x=8

⇒x=

2

8

=4

Therefore, number of boys =7×4=28 and number of girls =5×4=20

So, total number of children in the class =28+20=48.

Hence, the class strength is 48.

Answer 2

To find: The number of girls x.

Solution: Ratio is 2:3

The ratio of boys and girls should be equal.

2:3=16:x

by cross multiplication

2x=48

Therefore x=24.

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There are 24 girls in the class.

I hope you understand