Question

The ratio of the number of men and the number of women attending a conference is 5:4. If the number of men was
250, find the total number of people present in the conference.​

Answer 1

Let the total number of people be x.

Ratio of number men to women=5:4

Sum of the ratio = 9

Therefore, number of men

$\sf = \frac{5}{9} \times x$

Given that, total number of men was 250.

So,

$\sf\frac{5}{9} \times x = 250$

On solving the equation, we get,

$\sf x = 450$

Hence, the total number of people present in the conference is 450.(Answer.)

Answer 2

Answer: Total number of people attending the conference is 450.

Concept : Ratio and Proportion

Given : Ratio of number of men to the number of women attending a    

            conference is 5:4. Number of men was 250

To Find : Total umber of people present in the conference.

Step-by-step explanation:

Let the common ratio be x.

∴ Number of men attending the conference = 5x

∴ According to the question :

⇒ 5x = 250

∴ x = 250/5 = 50

∴ Number of women attending the conference = 4x = 4 * 50 = 200

∴ Total number of people present in the conference = 250 + 200 = 450.

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