Question

I need the answer to this with an explanation. This is ratio.

Answer 1

Given that 2500 students entered the Teacher Education Program.

`\text{Number of male students + Number of female students = 2500}`

20% of the students are male. Thus,

`\begin{gathered} \text{Number of male students = 20\% of 2500} \\ \Rightarrow(20)/(100)*2500 \\ \text{Number of male students = 500} \end{gathered}`

Thus,

`\begin{gathered} \text{Number of male students + Number of female students = 2500} \\ 500\text{ + Number of female students =2500} \\ \Rightarrow Number\text{ of female students = 2500 -500 = 2000 } \end{gathered}`

Thus, the ratio of the number of males to the number of females is evaluated as

`\begin{gathered} \text{Number of female : Number of male} \\ 2000\text{ : 500} \\ reducing\text{ to the lowest term gives} \\ 4\colon1 \end{gathered}`

Hence, the ratio of the number of females to the number of males is thus 4:1