In a certain room, there are 28 women and 21 men. What is the ratio of women to the total number of people? Note !! Write in lowest term, colon form. Created by JilianWasHere. Math

In a certain room, there are 28 women and 21 men. What is the ratio of women to ...

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✒️RATIO

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$\large\underline{\mathbb{PROBLEM}:}$

In a certain room, there are 28 women and 21 men. What is the ratio of women to the total number of people?

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$\large\underline{\mathbb{ANSWER}:}$

$\qquad \LARGE\:\: \rm{4 \::\: 7}$

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$\large\underline{\mathbb{SOLUTION}:}$

» Determine how many people in the room.

$28 + 21 = 49$

» There are 49 people in the room. Write the ratio of the number of woman to the total number of people.

$28 \::\: 49$

» Write in lowest terms.

$28 \div 7 \::\: 49 \div 7$

$4 \::\: 7$

$\therefore$ The ratio of women to the total number of people is 4:7

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women= 28

men= 21

total number of people= 28 + 21

total number of people= 49

ratio of women to men= 28: 21

Find the common multiple.= 7

Divide by 7.

Women 28/7= 4

Men 21/7= 3

Total Number of People 49/ 7= 7

Ratio of women to men

= 28 : 21

= 4 : 3

Ratio of men to women

= 21 : 28

= 3 : 4

Ratio of women to the total number of people

= 28 : 49

= 4 : 7

Answer:

What is the ratio of men to women?

21: 28= 3:4

What is the ratio of women to the total number of people?

28:49= 4:7

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