Three bags contain 64.2 kg of sugar. the second bag contain 4/5 of the first and third bag contains 45 1/2% of what there is in the second bag. how much sugar is there in each bag

    Mass of sugar in first bag = 29.67 kg

    Mass of sugar in second bag = 23.73 kg

    Mass of sugar in third bag = 10.80 kg

Explanation:

  Total mass of sugar = 64.2 kg

  Let x be the mass of sugar in first bag.

 The second bag contain 4/5 of the first bag

 Mass of sugar in second bag

 Third bag contains 45 1/2% of what there is in the second bag.

 Mass of sugar in third bag

   Total mass of sugar = 64.2 kg = x + 0.8 x + 0.364 x = 2.164 x

                             2.164 x  = 64.2

                                     x = 29.67 kg

    Mass of sugar in first bag =  x = 29.67 kg

    Mass of sugar in second bag =  0.8 x = 23.73 kg

    Mass of sugar in third bag =  0.364 x = 10.80 kg

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right