Question

The feed mill pays a farmer 6930.00 for the 1st delivery. $5475.00 for the 2nd delivery and $8879.50 for the third delivery. The table shows the # of bushels included in each delivery. Use that table to write and solve a system of equations to find the price per bushel that the farmer received for each crop.

Delivery: Corn } Wheat ] Soybeans
1st: 900 540 360
2nd: 1125 150 225
3rd: 860 645 645





So far my equations are:
900x + 540y + 360z=6930 x=corn
1125x + 150y +225z=5475 y = wheat
860x + 645y + 645z=8879.50 z = soybeans

Answer 1

Let the price of corn be x, that of wheat be y and that of soybeans be z, then
900x + 540y + 360z = 6930
1125x + 150y + 225z = 5475
860x + 645y + 645z = 8879.50

Solving simultaneously,
x = 3.2; y = 3.5; z = 6

Therefore, the price per bushel of corn is $3.20, that of wheat is $3.50 and that of soybeans = $6