Question

a group of 40 singers and 80 dancers, 20% of the singers are less than
age and 40% of the entire group are less than 25 years of age. What
the dancers are less
rs are less than 25 years of age?​

Answer 1

Answer:

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Answer 2

Given:

In a group of 40 singers and 80 dancers, 20% of the singers are less than 25 years old and 40% of the entire group are under 25 years.

To find:

What percentage of dancers are under 25 years?

Solution:

From given, we have,

In a group of 40 singers and 80 dancers, 20% of the singers are less than 25 years old

⇒ 40/100 × 20 = 8

Total number of singers and dancers are = 40 + 80 = 120

In a group of 40 singers and 80 dancers, 40% of the entire group are under 25 years.

⇒ 40/100 × 120 = 48

The number of dancers less than 25 years old = 48 - 8 = 40

Therefore, the percentage of dancers under 25 years = 40/40 × 100 = 100%

Therefore, the percentage of dancers under 25 years is 100%