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
Part (a) Step 1: Calculate the number of goats sold by Abdul. Goats sold by Abdul = 12 - 6 = 6 goats Step 2: Calculate the number of goats sold by Chebet. Goats sold by Chebet = 2 × 6 = 12 goats Step 3: Calculate the total number of goats sold. Total goats sold = 6 + 12 = 18 goats 18 Part (b) Step 1: Let the earnings of Abdul be 3k Ksh and Chebet be 5k Ksh (ratio 3:5). Total earnings: 3k + 5k = 9600 8k = 9600 k = (9600)/(8) = 1200 Ksh Step 2: Earnings of Abdul: 3 × 1200 = 3600 Ksh Step 3: Earnings of Chebet: 5 × 1200 = 6000 Ksh Step 4: Selling price per goat for Abdul: P_A = (3600)/(6) = 600 Ksh/goat Step 5: Selling price per goat for Chebet: P_C = (6000)/(12) = 500 Ksh/goat Step 6: Ratio of selling prices P_A : P_C: 600 : 500 Divide by 100: 6 : 5 Alternatively: (P_A)/(P_C) = earnings_A / goats_Aearnings_C / goats_C = (3/5)/(6/12) = (3)/(5) × (12)/(6) = (3)/(5) × 2 = (6)/(5) 6:5 Part (c) Step 1: Original selling price per goat by Abdul: 600 Ksh/goat Step 2: New selling price (ratio 19:21 means new:old = 19:21): New price = (19)/(21) × 600 First, (600)/(21) = (600 ÷ 3)/(21 ÷ 3) = (200)/(7) Then, (19)/(21) × 600 = 19 × (200)/(7) = (3800)/(7) Ksh/goat (3800)/(7)