Question

The ratio of adults to children is 400 to 150

Answer 1

In mathematics, a ratio indicates how many times one number contains another.

And when we write quantities in ratio form, we represent ratio with the symbol :

For example: The ratio of A to B is written mathematically as A:B

Another important thing we must note when writing ratios is to always express both quantities in their simplest form.

With the above explanation, we can proceed in answering the question.

The ratio of adults to children which is 400 to 150, can be written mathematically in ratio form as:

`\begin{gathered} =(400)/(150) \\ \text{Divide both the numerator and denominator by 10} \\ =(40)/(15) \\ \text{Divide both the numerator and denominator by 5} \\ =(8)/(3) \end{gathered}`

Final answer: The ratio of adults to children is:

`8\colon3`