Question

The ratio of the number of men to the number of women in a concert is 3:5 . If there are 4800 people at the concert, How many are women?

Answer 1

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The ratio of the number of men to the number of women in a concert is 3:5 . If there are 4800 people at the concert, How many are women?

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• The ratio of the number of men to the number of women at a concert is 3/5

• let the ratio constant is x for this ratio ,then no of men =5x

and the number of women is =3x

• the ratio of the number of women to the number of children is = 5/2

• let the ratio for this ratio is y
• then number of women is =2y
• and number of children is = 5y
• no. of women = 3x=2y , x= 3 / 2y

• sum of women and men is = 2y+5x=2y+5× 3 / 2y = 3/16y

• Then ratio of children to sum of women and men is = 3 / 16y / 5y = 16/15

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Answer 2

Given :

Ratio of men to the number of women in a concert is 3:5.

Total no of people=4800

To Find :

The number of women ..??

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Explanation:

Ratio of men to the number of women is 3:5 which means 3x+5x.Now,total no of people is 4800

$= > 3x + 5x = 4800$

$= > 8x = 4800$

$= > x = \frac{4800}{8} = 600$

Total number of men in the concert is 3x =3×600=1800

Total number of women in the concert is 5x=5×600=3000

Check:Number of men +number of women =4800

=>1800+3000=4800

additional information:

• The ratio is the relationship between any two values or two quantities such as 'a' and 'b' a/b or a:b where b ≠0.
• suppose 3 and 6 two values where 3 is the ratio of 6 as 1:2 and this whole statement are said to be proportion.

Remember:

• when making ratio remember value or quantity should be of same kind and units must be same