Question

In a group of 100 people, 55 are men and the
rest are women. Find the ratio of:
(i) number of men to the total number of
people.
(ii) number of women to the total number of
people.
(iii) number of men to the number of women.​

Answer 1

Question:-

In a group of 100 people, 55 are men and the rest are women. Find the ratio of:

1 . Number of men to the total number of people.

2 . Number of women to the total number of people.

3 . Number of men to the number of women.

To Find:-

• Find the number of men to the total number of people.
• Find the number of women to the total number of people.
• Find the number of men to the number of women.

Given:-

• In a group of 100 people, 55 are men and the
• rest are women.

Solution:-

Total number of people = 100

Total number of men = 55

Total number of women = 45

( i )

Total number of men : Total number of people

55 : 100

11 : 20

( i i )

Total number of women : Total number of people

45 : 100

9 : 20

( i i i )

Total number of men : Total number of women

55 : 45

11 : 9

Answer 2

Answer:

$\bigstar \: \Large\underline\frak \red{Given}$

• ↝ In a group of 100 people.
• ↝ 55 are men and the rest are women.

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$\bigstar \: \Large \underline\frak \red{To \: Find }$

The ratio of:

• ↝ (i) number of men to the total number of people.
• ↝ (ii) number of women to the total number of people.
• ↝ (iii) number of men to the number of women.

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$\bigstar \: \Large \underline\frak \red{Solution}$

⑴ number of men to the total number of people.

${:\implies\sf \pink{Ratio }= \purple{ \dfrac {Number \: of \: Men}{ Total \: number \: of \: people }}}$

$: \implies \sf \pink{Ratio }= \purple {\cancel \dfrac{55}{100}}$

$: \implies\sf \pink{Ratio} = \purple {\dfrac{11}{20}}$

$\large{\underline{\boxed{\frak \purple{Ratio} = \pink{11:20}}}}$

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(ii) number of women to the total number of people.

${: \implies{\sf \pink{Women} = \purple{Total \: number \: of \: People- Number \: of \: Men}}}$

$: \implies\sf \pink{Women} = \purple{ 100 - 45}$

$: \implies\sf \pink{Women} = \purple{ 45}$

Now,

${:\implies\sf \pink{Ratio }= \purple{ \dfrac {Number \: of \: Women}{ Total \: number \: of \: people }}}$

${:\implies\sf \pink{Ratio }= \purple{\cancel{ \dfrac {45}{ 100 }}}}$

$: \implies\sf \pink{Ratio }= \purple {\dfrac{9}{20}}$

$\large{\underline{\boxed{\frak \purple{Ratio} = \pink{9:20}}}}$

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(iii) number of men to the number of women.

${: \implies \sf \pink{Ratio} = \purple{\dfrac{Total \: number \: of \: Men }{Total \: number \: of \: Women }}}$

$: \implies\sf\pink{Ratio}=\purple{ \cancel{\dfrac{55}{45}} }$

$: \implies \sf \pink{Ratio} = \purple{\dfrac{11}{9} }$

$\large{\underline{\boxed{\frak \purple{Ratio} = \pink{11:9}}}}$

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$\bigstar \: \Large \underline\frak \red{Know \:More }$

Ratio -

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent.