Question

In a group of people, the ratio of male to female is 7:3. If there are 12 more male members
than female members, find the actual number of male and female members.

*please show working too*

Answer 1

$\large{\boxed{\boxed{\sf Let's \: Understand \: Question \: F1^{st}}}}$

Here, we have given the Ratio of male and female in a group of people and said that there are 12 more male members than female members. Then, we have to find the actual no. of male and female members.

$\large{\boxed{\boxed{\sf How \: To \: Do \: It?}}}$

Here, f1st of all we will let the no. of female members 'x' then the no. of male members will be x+12 Now, going according to Question we will find the value of 'x' which is no. of female members in that group. Then, we will add 12 in x to get the no. of female members.

Let's Do It ⚡

$\huge{\underline{\boxed{\sf AnSwer}}}$

____________________________

Given:-

• Ratio of male to female in a group = 7:3
• The no. of male is 12 more than female.

Find:-

• Actual no. of male and female in that group.

Solution:-

Let, Female members be ❛x❜

Then, Male members will be ❛x + 12❜

Now,

✭$\underline{\underline{\textsf{According To Question}}}$✭

$:\Longrightarrow\sf \dfrac{Female\:Members}{Male\: Members} = \dfrac{4}{7}$

$:\Longrightarrow\sf \dfrac{x}{x + 12} = \dfrac{4}{7}$

✮ Cross-multiplication✮

$:\Longrightarrow\sf \dfrac{x}{x + 12} = \dfrac{4}{7}$

$:\Longrightarrow\sf 7(x) = 4(x + 12)$

$:\Longrightarrow\sf 7x = 4x + 48$

$:\Longrightarrow\sf 7x - 4x = 48$

$:\Longrightarrow\sf 3x = 48$

$:\Longrightarrow\sf x = \dfrac{48}{3}$

$:\Longrightarrow\sf x = 16$

$\underline{\boxed{\sf \therefore No.\:of\: female\: members\:is\:16}}$

__________________________

✟Now, substituting value of 'x' in 'x + 12'✟

➱ Male members = x + 12

➱ Male members = 16 + 12 = 28

➱ Male members = 28

$\underline{\boxed{\sf \therefore No.\:of\: Male\: members\:is\:28}}$

____________________

Hence,

❍ Male members = 16

❍ Female members = 16