Answer :
to find out the ratio of adults to children we need to divide the number of adults by the number of children and simplify the fraction:
[tex]\frac{10}{35}=\frac{\frac{10}{5}}{\frac{35}{5}}=\frac{2}{7}[/tex]so the ratio of adults to children at the cookout is: 2:7
and total people= children + adults= 35+10=45
so now for the ratio of children to total people, we divide the number of children by 45
[tex]\frac{35}{45}=\frac{\frac{35}{5}}{\frac{45}{5}}=\frac{7}{9}[/tex]So the ratio of children to total people at the cookout is: 7:9