Question

one sixth of an audience in a children's theatre are adults. two fifths of the children are boys. what fraction of the audience are girls?​

Answer 1

Step-by-step explanation:

Given one sixth of an audience in a children's theatre are adults. two fifths of the children are boys. what fraction of the audience are girls?

• So one sixth of an audience in a theatre are adults.
• Now the total number of audience is 1
• So 1 – 1/6 = 5/6 are children. Also two fifths of the children are boys.
• Therefore total fraction of children will be 2/5 x 5/6
•                                                                    = 2/6
•                                                                     = 1/3
• So 1/3 are boys
• Now number of girls will be fraction of children – fraction of boys.
•                                                             5/6 – 1/3
•                                                                 5 – 2 / 6
•                                                                      3/6
•                                                                      = ½
• So the fraction of audience who are girls is ½

Reference link will be

https://brainly.in/question/20585653

Answer 2

Step 1: Given data

fraction of adults in the audience $=\frac{1}{6}$

fraction of boys among the children $=\frac{2}{5}$

fraction of girls in the audience $=?$

Step 2: Calculating the number of girls

Since,fraction of adults  $=\frac{1}{6}$

Let, total audience$=\frac{6}{6}=1$

Thus,

fraction of children $=1-\frac{1}{6} = \frac{5}{6}$

fraction of boys  $=\frac{2}{5}\times \frac{5}{6} =\frac{2}{6} =\frac{1}{3}$

Therefore,

fraction of girls$=total\ children-fraction\ of\ boys=\frac{5}{6}-\frac{1}{3}=\frac{5-2}{6} =\frac{3}{6} =\frac{1}{2}$

Hence, the fraction of girls in the audience is $\frac{1}{2}$.

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