in a school, the ratio of the number of boys to the number of girls is 2:3 and the ratio of the number of girls to the number of teachers is 7:3. what is the ratio of the number of students to the number of teachers?

S==Students

B/G ==2/3,

G/T==7/3, solve for B,G

B = (14 T)/9 and G = (7 T)/3

S/T ==(14 T)/9 + (7 T)/3==35T / 9

Ratio of students to teachers==35 : 9

Since the ratio of girls to teachers==7 : 3

But the ratio of boys to girls==2 : 3

Then the ratio of boys + girls to teachers= [7 + (2/3 * 7)] : 3 ==[7 + 4 + 2/3] : 3 ==[11 2/3 * 3] : [3 * 3]==35 : 9