Question

In a garden, the ratio of the number of children to the number of women is 9:2. If there are 84 more children than women, find the number of children in the garden.​

Answer 1

Let 9k be the number of children; and

2k be the number of women.

$9k - 2k = 84 \\ 7k = 84 \\ k = \frac{84}{7} \\ k = 12$

Therefore, the number of children is...

9k

= 9 × 12

= 108

Answer 2

Answer: The number of children is 108 when the ratio of the number of children to the number of women is 9:2 and if there are 84 more children than women.

Step-by-step explanation:

It is given that in a garden, the ratio of the number of children to the number of women is 9:2 and there are 84 more children than women
Let 9x be the number of children and 2x be the number of women.

According to the question , children are more than women and the difference between their numbers is 84.
So, we can write it as

⇒ 9x - 2x = 84
⇒ 7x = 84
⇒ x = 84/ 7
⇒x = 12
Here the value of x is 12.
Therefore the number of children = 9x = 9 x 12 = 108
Similarly the number of women = 2x = 2 x 12 = 24

Hence, the number of children is 108 when the ratio of the number of children to the number of women is 9:2 and if there are 84 more children than women.

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