Question

a school has 300 students if the ratio of boys to girls is 31 to 44 how many more girls are there in the school

Answer 1

52 more girls

Step-by-step explanation:

The ratio of boys to girls =31 : 44

Total number of students in the school = 300

Therefore:

`\begin{gathered} \text{Number of boys}=(31)/(31+44)*300 \\ =(31)/(75)*300 \\ =124\text{ boys} \end{gathered}`

Similarly:

`\begin{gathered} \text{Number of girls}=300-124 \\ =176\text{ girls} \end{gathered}`

The difference is:

`\begin{gathered} 176-124 \\ =52 \end{gathered}`

Thus, there are 52 more girls than boys in the school.