Two skilled and three unskilled labourers cost sh. 3 500 per day. Three skilled and four unskilled labourers cost sh. 5 000 per day. Find the cost of hiring each skilled and unskilled labourer.

Mercy, let's knock this out. Step 1: Define variables and set up the system of equations. Let s be the cost of hiring one skilled labourer per day. Let u be the cost of hiring one unskilled labourer per day. From the problem statement, we can form two linear equations: The cost for two skilled and three unskilled labourers is sh. 3 500: 2s + 3u = 3500 (1) The cost for three skilled and four unskilled labourers is sh. 5 000: 3s + 4u = 5000 (2) Step 2: Solve the system of equations using the elimination method. Multiply equation (1) by 3 and equation (2) by 2 to make the coefficients of s equal: 3 × (2s + 3u) = 3 × 3500 6s + 9u = 10500 (3) 2 × (3s + 4u) = 2 × 5000 6s + 8u = 10000 (4) Step 3: Subtract equation (4) from equation (3) to eliminate s and solve for u. (6s + 9u) - (6s + 8u) = 10500 - 10000 u = 500 Step 4: Substitute the value of u back into equation (1) to solve for s. 2s + 3(500) = 3500 2s + 1500 = 3500 2s = 3500 - 1500 2s = 2000 s = 1000 The cost of hiring each skilled labourer is sh. 1000 per day, and the cost of hiring each unskilled labourer is sh. 500 per day. The cost of hiring a skilled labourer is sh. 1000 per day. The cost of hiring an unskilled labourer is sh. 500 per day. Send me the next one 📸