Question

The cost of 1kg potatoes and 2kg tomatoes was 30 on a certain day. After two days the cost of 2kg potatoes and 4kg tomatoes was found to be 66. ​

Answer 1

Find the cost of 3kg potatoes and 3kg tomatoes on that day

The cost of 3kg potatoes and 3kg tomatoes on the day was 54.

Answer 2

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.