A piece of ribbon is cut into 3 different pieces A, B and C. The ratio of the length of A to the length of B is 3 : 4. The ratio of the length of B to that of C is 8 : 9. If C is 6m longer than A, what is the total length of the ribbon?
+36916 a/b x b/c = 3/4 x 8/9 = a/c = 24/36 = a/(a+6)
24(a+6) = 36 a 24a + 144 = 36a a = 12 a/b =3/4 12/b= 3/4 b= 16
a/c =24/36 12/c = 24/36 c = 18
12 + 16 + 18 =46 cm
