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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?

 Jul 27, 2022
 #1
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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

 Jul 27, 2022
 #2
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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

 Jul 28, 2022

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