let P = pounds of potatoes

C = pounds of carrots

P(.06) + C(.08) = 24000a farmer makes .06$ profit on each pound of potatoes he makes. He also makes .08 $ profit on each pound of carrots he makes ... total amount of profit is 24,000$

P = 2CHe makes twice as much potatoes than carrots.

solve the system of equations for P and C.