At a school number of boys : number of girls = 9 : 7 There are 116 more boys than girls. Work out the total number of students at the school.

B:G --> 9:7

Expressed as fractions of the whole group, boys are 9/16 of the group and girls are 7/16 of the group.

We can use algebra to work out the total group number. For our working, I will use x to represent the total group number, and working will be to find x.

9/16x = 7/16x + 116

9/16x - 7/16x = 116

2/16x = 116

1/8x= 116

x= 116 x 8

x= 928

The total number of students at the school is 928.