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
answer: At the school there are 522 boys and 406 girls.
Let x be a number of boys and y be a number of girls. Then x:y=9:7, that is 7x=9y; and we have x-y=116. Thus, x=116+y 7(116+y)=9y 7*116+7y=9y 2y=7*116 y=7*58=406 x=406+116=522 Total number of students is x+y=522+406=928.