Let's represent the cost of 1kg of potatoes as 'p' and the cost of 1kg of tomatoes as 't'.
From the first statement, we know that:
1p + 2t = 30 (Equation 1)
From the second statement, we know that:
2p + 4t = 66 (Equation 2)
We can now solve this system of equations to find the values of 'p' and 't'.
Multiplying Equation 1 by 2, we get:
2p + 4t = 60 (Equation 3)
Now, we can subtract Equation 2 from Equation 3 to eliminate 'p':
(2p + 4t) - (2p + 4t) = 60 - 66
0 = -6
This implies that there is no consistent solution for the given system of equations.