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
Question 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. Solution 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"`