A kilo of onion is bought at the same price as a kilo of orange. A kilo of avocado costs half the cost of a kilo of pear, whose price is double that of a kilo of onion. Additionally, cilantro cost $4.00, which is one-fifth the cost per kilo of orange.

Let's denote the prices of the various fruits and cilantro with variables: - Let "O" represent the price per kilo of onion. - Let "A" represent the price per kilo of avocado. - Let "P" represent the price per kilo of pear. - Let "C" represent the price per kilo of cilantro. - Let "N" represent the price per kilo of orange. Now, we can use the information given to set up a system of equations based on the relationships between these prices: 1. "A kilo of onion is bought at the same price as a kilo of orange": O = N 2. "A kilo of avocado costs half the cost of a kilo of pear": A = 0.5P 3. "The price of a kilo of pear is double that of a kilo of onion": P = 2O 4. "Cilantro costs $4.00, which is one-fifth the cost per kilo of orange": C = 0.2N Now, let's use these equations to find the relationships between the prices: From equation (3), we have: P = 2O From equation (2), we have: A = 0.5P Substitute the value of P from equation (3) into equation (2): A = 0.5(2O) A = O So, the price per kilo of avocado (A) is the same as the price per kilo of onion (O). Now, we know that cilantro (C) costs $4.00, and it is one-fifth the cost per kilo of orange (N): C = 0.2N Since C is given as $4.00, we can set up the equation: 4 = 0.2N Now, solve for N: N = 4 / 0.2 N = 20 So, the price per kilo of orange (N) is $20.00. Now that we have the prices for onion (O), avocado (A), and orange (N), we can find the price per kilo of pear (P) and the cost of cilantro (C): From equation (3): P = 2O P = 2(20) P = $40.00 So, the price per kilo of pear (P) is $40.00. And from equation (4): C = 0.2N C = 0.2(20) C = $4.00 So, the cost per kilo of cilantro (C) is $4.00. To summarize: - Price per kilo of onion (O) = $20.00 - Price per kilo of avocado (A) = $20.00 - Price per kilo of pear (P) = $40.00 - Price per kilo of orange (N) = $20.00 - Cost per kilo of cilantro (C) = $4.00