This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Define variables and set up the system of equations. Let x be the price of one bag of fertilizer and y be the price of one bag of maize seed. From the problem statement, we have two equations: For 2 bags of fertilizer and 4 bags of maize seeds costing Sh. 1400: 2x + 4y = 1400 (1) For 3 bags of fertilizer and 3 bags of maize seeds costing Sh. 1500: 3x + 3y = 1500 (2) Step 2: Simplify the equations. Divide equation (1) by 2: x + 2y = 700 (3) Divide equation (2) by 3: x + y = 500 (4) Step 3: Solve the system of simplified equations for x and y. Subtract equation (4) from equation (3): (x + 2y) - (x + y) = 700 - 500 y = 200 Substitute y = 200 into equation (4): x + 200 = 500 x = 500 - 200 x = 300 So, one bag of fertilizer costs Sh. 300 and one bag of maize seed costs Sh. 200. Step 4: Calculate the price of 2 bags of fertilizer and 3 bags of maize seeds. We need to find the value of 2x + 3y. 2x + 3y = 2(300) + 3(200) 2x + 3y = 600 + 600 2x + 3y = 1200 The price of 2 bags of fertilizer and 3 bags of maize seeds is: Sh. 1200 That's 2 down. 3 left today — send the next one.