Answer:
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 [tex]=\frac{4}{5} x = 0.8x[/tex]
Third bag contains 45 1/2% of what there is in the second bag.
Mass of sugar in third bag [tex]=0.8x *\frac{45.5}{100} =0.364x[/tex]
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
