Question 67
Three bags contain 64.2 kg of sugar. The second bag contains 45 of the contents of the first and the third contains 4512% of what there is in the second bag. How much sugar is there in each bag?
The total weight of sugar in three bags = 64.2 kg
Let the first bag contains x kg sugar.
The second bag contains =x×45kg=4x5kg
Third bag contains = =x×45×912%=x×45×912100=91x250kg
According to the question,
x+4x5+91x250=64.2⇒ 250x+200x+91x250=64.2⇒ 541x=64.2×250
541x = 16050
⇒ x=16050541=29.67 kg
So, first bag contains the sugar = 29.67 kg
Second bag contains the sugar = 29.67×45=23.73 kg
and third bag contains the sugar =91250×29.67=10.8 kg