Answer to Question #222621 in Algebra for Jennifer Wagas

Question

The two baskets of fruits A and B weigh 100 kilograms. Now take out 12 kilograms of fruits from tube A and put them in basket B. The fruits in basket A are 4 kg heavier than basket B. How many kilograms do the two baskets of fruit weigh?

Answer 1

Let $x=$ the weight of fruits in basket A, $y=$ the weight of fruits in basket B.

$$x+y=100$$ $$x-12=y+12+4$$

$$x=y+28$$ $$y+28+y=100$$

$$x=64$$ $$y=36$$

The basket A weighs 64 kilograms.

The basket B weighs 36 kilograms.