Just need to check...did I do anything wrong? I think it's wrong, but just please help me check!

Problem: A confectioner has candy costing 55 cents and 75 cents per kilogram. If he wishes to make 1000 kilograms of a mixture and sell it for 60 cents per kilogram, how much of each does he need?

55x + 75(1000-x) = 60(1000)

55x + 75 000 - 75x = 60 000

-20x = -15 000

x = 750

Just checking! Thanks!