Question

There is a total of 28 students in the class. The number of girlsis 4 more than the number of boys. Write a system of equations tofind the number of girls and the number of boys there are in theclass.

Answer 1

Given:

The total number of students, T=28.

The number of girls is 4 more than the number of boys.

Let y be the number of girls and x be the number of boys.

Therefore,

`y=4+x`

Hence,

`x-y=-4`

The expression for the total number of students can be written as,

`T=x+y`

Put T=28 in the above equation.

`28=x+y`

Therefore, the system of equations to find the number of girls and the number of boys is,

`\begin{gathered} x-y=-4\text{ ---(1)} \\ x+y=28\text{ ----(2)} \end{gathered}`