Oranges - fruit

I have 2 kg of fruit (apples + oranges) for 50, -. 1 kg of apples is for 22, - oranges 1 kg for 34, - How much does each fruit weigh?

Final Answer:

j =  1.5 kg
p =  0.5 kg

Step-by-step explanation:

j+p=2 22j+34p=50  22⋅ j+34⋅ p=50  j+p=2  Pivot:Row1↔Row2  Row2−221​⋅ Row1→Row2 −0.55p=−0.27  p=−0.54545455−0.27272727​=0.5 j=2250−34p​=2250−34⋅ 0.5​=1.5=1.5 kg  j=23​=1.5 p=21​=0.5

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