There are 400 students at Cayley H.S., where the ratio of boys to girls is 3 : 2. There are 600 students at Fermat C.I., where the ratio of boys to girls is 2 : 3. When considering all the students from both schools, what is the ratio of boys to girls?
(A) 2:3 (B) 12:13 (C) 1:1 (D) 6:5 (E) 3:2
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