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.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Do you have a system of equations and looking for calculator system of linear equations?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: