Two sacks together contained 40 kilograms of sugar. If after 1 kilogram of sugar was taken from the first sack and poured into the second the weight of the sugar in the first sack became 60% the weight of the sugar in the second, what was the original difference in the weights of the sacks?	Choose the correct option: A) 4 B) 6 C) 8 D) 10 E) 12
Say the weight of the second sack after change is x kilograms, then the weight of the first sack after change would be 0.6x. Since the total weight of sugar in both sacks remained the same then x+0.6x=40, which gives x=25.   Now, if the weight of the second sack after change is 25 kilograms then initially it was 25−1=24 kilograms and the initial weight of the first sack was 40−24=16 kilograms, so the difference was 24−16=8 kilograms.   Answer: 8
<result>C</result>
Two sacks together contained 40 kilograms of sugar. If after 1 kilogram of sugar was taken from the first sack and poured into the second the weight of the sugar in the first sack became 60% the weight of the sugar in the second, what was the original difference in the weights of the sacks?