# Two different schools (A and B) have the same number of pupils. The ratio of the boys in school A and the boys in school B is 2:1

Two different schools (A and B) have the same number of pupils. The ratio of the boys in school A and the boys in school B is 2:1 and the ratio of the
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Two different schools (A and B) have the same number of pupils. The ratio of the boys in school A and the boys in school B is 2:1 and the ratio of the girls in school A and the girls in school B is 4:5. Find the ratio of the boys in school A to the girls in school A.

Given that, "a"/"c" = "2"/"1"

"b"/"d" = "4"/"5"

"a"+"b" = "c"+"d"

we want to find a/b

a = 2c

5b = 4d

a-c = d-b

a-("a"/"2") = ("5b"/"4")-b

"a"/"2" = "b"/"4"

"a"/"b" = "2"/"4" = "1"/"2"

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