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: Combine the given ratios to find the combined ratio of Peter : James : David. Given ratios: Peter : James = 2:3 James : David = 4:5 To combine these, we need to make the 'James' part of the ratio the same. The least common multiple of 3 and 4 is 12. Multiply the first ratio by 4: Peter : James = (2 × 4) : (3 × 4) = 8:12 Multiply the second ratio by 3: James : David = (4 × 3) : (5 × 3) = 12:15 Now, the combined ratio Peter : James : David is 8:12:15. Step 2: Calculate the total number of ratio parts. Total parts = 8 + 12 + 15 = 35 parts. Step 3: Determine the value of one ratio part. The total contribution is Ksh. 82,250. Value per part = Total contributionTotal parts Value per part = Ksh. 82,25035 Value per part = Ksh. 2,350 Step 4: Calculate David's contribution. David's share in the ratio is 15 parts. David's contribution = David's parts × Value per part David's contribution = 15 × Ksh. 2,350 David's contribution = Ksh. 35,250 David contributed Ksh. 35,250. 3 done, 2 left today. You're making progress.