Harvested 5623

They harvested 390 tons. Wheat is 18% more than barley and 126 tons less caliber than wheat and barley combined. How many tons of barley, wheat, and caliber were there?

Correct answer:

j =  118.3486
p =  139.6514
r =  132

Step-by-step explanation:


p+j+r = 390
p = j · 1.18
r = p + j - 126

j+p+r = 390
1.18j-p = 0
j+p-r = 126

Pivot: Row 1 ↔ Row 2
1.18j-p = 0
j+p+r = 390
j+p-r = 126

Row 2 - 1/1.18 · Row 1 → Row 2
1.18j-p = 0
1.847p+r = 390
j+p-r = 126

Row 3 - 1/1.18 · Row 1 → Row 3
1.18j-p = 0
1.847p+r = 390
1.847p-r = 126

Row 3 - Row 2 → Row 3
1.18j-p = 0
1.847p+r = 390
-2r = -264


r = -264/-2 = 132
p = 390-r/1.84745763 = 390-132/1.84745763 = 139.65137615
j = 0+p/1.18 = 0+139.65137615/1.18 = 118.34862385

j = 118.348624
p = 139.651376
r = 132

Our linear equations calculator calculates it.



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