Question

. The ratio of number of men to number of women in a party is 5:4. If the number of men is 40, find the number of women in the party? PLS HELP

Answer 1

Question:-

The ratio of number of men to number of women in a party is 5:4. If the number of men is 40, find the number of women in the party?

Answer:-

• The number of women in the party is 32.

To find:-

• Number of women

Solution:-

• Ratio = 5:4
• Total number of men = 40

Put x in the ratio,

• Number of men = 5x
• Number of women = 4x

According to question,

$\large{ \tt : \implies \: \: \: \: \: \: 5x = 40}$

$\large{ \tt : \implies \: \: \: \: \: \: x = \frac{40}{5} }$

$\large{ \tt : \implies \: \: \: \: \: \: x = 8}$

• The value of x is 8

Number of women = 4x = 4×8 = 32

Hence,

The number of women in the party is 32.

Answer 2

Given

• The ratio of number of men to number of women in a party is 5:4.
• Number of men is 40.

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To find

• Number of women in the party.

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Solution

• Let the ratio of number of men and women be x.

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Then,

$\tt\longmapsto{}$ Number of men = 5x

$\tt\longmapsto{}$ Number of women = 4x

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★ It is given that the number of men is 40.

Therefore,

$\large{\tt{\longmapsto{5x = 40}}}$

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$\large{\tt{\longmapsto{x = \cancel{\dfrac{40}{5}}}}}$

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$\large{\bf{\longmapsto{x = 8}}}$

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By putting the value of x, we will find the number of women.

$\tt\longrightarrow{Number\: of\: women = 4 \times 8}$

$\tt\longrightarrow{Number\: of\: women = 32}$

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Hence,

• Number of women in the party is 32.

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