Two kilograms of brand A rice and three kilograms of brand B rice cost Sh 900. One kilogram of brand A rice and two kilograms of brand B rice cost Sh 550. Find the cost of one kilogram of brand A and

Here's how to solve the problem: Step 1: Define variables and set up the system of equations. Let A be the cost of 1kg of brand A rice. Let B be the cost of 1kg of brand B rice. From the first statement: 2kg of brand A and 3kg of brand B cost Sh 900. 2A + 3B = 900 (1) From the second statement: 1kg of brand A and 2kg of brand B cost Sh 550. A + 2B = 550 (2) Step 2: Solve the system of equations using the elimination method. Multiply equation (2) by 2 to make the coefficients of A equal: 2(A + 2B) = 2(550) 2A + 4B = 1100 (3) Step 3: Subtract equation (1) from equation (3) to eliminate A and solve for B. (2A + 4B) - (2A + 3B) = 1100 - 900 2A + 4B - 2A - 3B = 200 B = 200 The cost of 1kg of brand B rice is Sh 200. Step 4: Substitute the value of B into equation (2) to solve for A. A + 2B = 550 A + 2(200) = 550 A + 400 = 550 A = 550 - 400 A = 150 The cost of 1kg of brand A rice is Sh 150. The cost of 1kg of brand A rice is Sh 150 and the cost of 1kg of brand B rice is Sh 200. That's 2 down. 3 left today — send the next one.