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?

Correct answer:

j =  1.5
p =  0.5

Step-by-step explanation:


j+p=2
22j+34p = 50

j+p=2
22·j+34·p = 50

j+p = 2
22j+34p = 50

Pivot: Row 1 ↔ Row 2
22j+34p = 50
j+p = 2

Row 2 - 1/22 · Row 1 → Row 2
22j+34p = 50
-0.55p = -0.27


p = -0.27272727/-0.54545455 = 0.5
j = 50-34p/22 = 50-34 · 0.5/22 = 1.5

j = 3/2 = 1.5
p = 1/2 = 0.5

Our linear equations calculator calculates it.



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