Question

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

Answer 1

Answer:

8

Step-by-step explanation:

Since the ratio of women to men at the start was 3 : 2, the number of women was 3a and the number of men was 2a, for some a.

After 20 more men joined, the number of men became 2a+20.

As the ratio was then 2 : 3,

3 × (# women) = 2 × (# men)

=> 3 × 3a = 2 × (2a+20)

=> 9a = 4a + 40

=> 5a = 40

=> a = 8

Answer 2

The number of women is 32.

Given:

The ratio of men to women in the party is 5:4. The number of men is 40.

To Find:

The number of women.

Solution:

It is given that the ratio of men to women in the party is 5:4.

Let the ratio is $\frac{5x}{4x}$.

Also, it is given that the number of men is 40, so

$5x=40$

Solve the above equation and find x.

$x=8$

To find the number of women, multiply 4 by 8.

$4x=4\times 8\\=32$

Thus, the number of women is 32.

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