Question

help me please im not understanding on the right side it says: to the total number of people present. Express as a simplified ratio

Answer 1

4 : 9

Step-by-step explanation

The total number of people present is the number of females plus the number of males:

`125+100=225`

The ratio of number of males to total number of people is:

`(100)/(225)`

We have to simplify this fraction. Both 100 and 225 are divisible by 5:

`\begin{gathered} 100\colon5=20 \\ 225\colon5=45 \end{gathered}`

Therefore:

`(100)/(225)=(20)/(45)`

And then again, 20 and 45 are divisible by 5:

`\begin{gathered} 20\colon5=4 \\ 45\colon5=9 \end{gathered}`

Therefore:

`(100)/(225)=(20)/(45)=(4)/(9)`

We can't simplify more than that, so the ratio is 4 : 9