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

X=number of boys.
y=number of girls.
we suggest this system of equation
x/y=9/7
x=y+116
We solve this system of equation by substitution method.
(y+116)/y=9/7
7(y+116)=9y
7y+812=9y
9y-7y=812
2y=812
y=812/2=406

x=y+116
x=406+116=522

At the school there are 522 boys and 406 girls.

to chek.
522/406=1.2857...
9/7=1.2857...

The number of boys (522) is equal to 406+116=522.

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