The farm

The farm harvested 390 tons of grain. Wheat was 15% more than barley, and rye was 126 tons less than wheat and barley combined. How many tons of wheat, how many tons of barley, and how much rye did the team get?

Correct answer:

j =  120
p =  138
r =  132

Step-by-step explanation:


p = 1.15j
r = p + j - 126
p+j+r = 390

p = 1.15·j
r = p + j - 126
p+j+r = 390

1.15j-p = 0
j+p-r = 126
j+p+r = 390

Row 2 - 1/1.15 · Row 1 → Row 2
1.15j-p = 0
1.87p-r = 126
j+p+r = 390

Row 3 - 1/1.15 · Row 1 → Row 3
1.15j-p = 0
1.87p-r = 126
1.87p+r = 390

Row 3 - Row 2 → Row 3
1.15j-p = 0
1.87p-r = 126
2r = 264


r = 264/2 = 132
p = 126+r/1.86956522 = 126+132/1.86956522 = 138
j = 0+p/1.15 = 0+138/1.15 = 120

j = 120
p = 138
r = 132

Our linear equations calculator calculates it.



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