Question

A theater group is made up of 21 girls and 24 boys. Fifteen of the girls and 12 of the boys are also in a photography club.

What percent of the theater group is also in the photography club?

Enter your answer in the box.

Answer 1

Answer:

60%

Step-by-step explanation:

There are a total of 45 people 24 boys and 21 girl=45

27 of them are in the club 27 out of 45=60%

Answer 2

The percent of the theater group which is also in the photography club is evaluated as 60%

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

$\dfrac{a}{100} \times b$

For the considered situation, we have the following figures:

• Total amount of girls in theater group = 21
• Total amount of boys in theater group = 24

Total students = 21 + 24 = 45

• Amount of girls from theater group also in a photography club = 15
• Amount of boys from theater group also in a photography club = 12

Total students who are in theater group as well as in photography club = 15 + 12 = 27

Thus, the percent of theater group which is also in the photography group is percent of 45(amount of students in theater group) which equates to 27(amount of students who are in theater group as well as in photography club) = $x\%$ (say).

Then, by using the percent's definition, we get:

$\dfrac{45}{100} \times x = 27\\\\\text{Multiplying both the sides by 100/45}\\\\x = \dfrac{27 \times 100}{45} = 60 (\text{in percent})$

Thus, the percent of the theater group which is also in the photography club is evaluated as 60%

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