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

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

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