We have a problem about two baskets of apples. Initially, the first basket has three-fourths kilogram more apples than the second basket. We need to find the difference between the baskets after moving four-thirds kilogram from the first basket to the second basket.
Let's set up the problem mathematically. We define D initial as the initial difference between the baskets, which is three-fourths kilogram. The first basket weighs W one and the second basket weighs W two, where W one minus W two equals three-fourths kilogram.
Now we transfer four-thirds kilogram from the first basket to the second basket. The first basket loses four-thirds kilogram, while the second basket gains four-thirds kilogram. The change in difference is negative four-thirds minus four-thirds, which equals negative eight-thirds kilogram.
Now we calculate the new difference. D new equals D initial plus the change, which is three-fourths minus eight-thirds. Converting to a common denominator of twelve, we get nine-twelfths minus thirty-two-twelfths, which equals negative twenty-three-twelfths kilogram. The negative sign means the second basket is now heavier than the first.
The question asks for the difference between the two baskets. Since we calculated negative twenty-three-twelfths kilogram, we take the absolute value to get the final answer: twenty-three-twelfths kilogram.