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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?

 Mar 27, 2020
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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

 Mar 27, 2020

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