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# Ratio

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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 7:4. what is the ratio of the number of students to the number of teachers?

Hint: Convert each ratio to an equivalent ratio such that the new value for the number of girls is common for both ratios.

May 3, 2021

#1
0

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 7:4. what is the ratio of the number of students to the number of teachers?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

B : G = 2 : 3                G : T = 7 : 4

2 : 3 = x : 7

x = 4 2/3

B : G : T = 4 2/3 : 7 : 4

(B + G) : T = 11 2/3 : 4  | *3

(B + G) : T = 35 : 12

May 3, 2021
#2
+1

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 7:4. what is the ratio of the number of students to the number of teachers?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

B : G = 2 : 3                G : T = 7 : 4

2 : 3 = x : 7

x = 4 2/3

B : G : T = 4 2/3 : 7 : 4

(B + G) : T = 11 2/3 : 4  | *3

(B + G) : T = 35 : 12

May 3, 2021
#3
+1

Both posts are mine. Hopefully, one of them is correct...!?  civonamzuk  May 3, 2021
edited by civonamzuk  May 3, 2021