Question

There are x number of students at helms. If the number of students increases by 7.8% each year, how many students will be there next year. Write an equation to express this.

Answer 1

There will be 1.078x students next year and equation is number of students in next year = x + 7.8% of x

Solution:

Given, There are "x" number of students at helms.

The number of students increases by 7.8% each year which means if there "x" number of students in present year, then the number of students in next year will be x + 7.8% of x

Number of students in next year = number of students in present year + increased number of students.

`\begin{array}{l}{\text { Number of students in next year }=x+7.8 \% \text { of } x} \\\\ {\text { Number of students in next year }=x\left(1+(7.8)/(100)\right)} \\\\ {\text { Number of students in next year }=x(1+0.078)=1.078 x}\end{array}`

Thus there will be 1.078x students in next year