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.
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I cannot calculate the size of angle marked m as the relevant diagram is not provided in the image. Let's solve question 32. a) Find the amount of money that they shared. Step 1: Determine the difference in ratio parts between Christine and Ann. The ratio for Ann:Babra:Christine is 4:5:6. Christine's share is 6 parts, and Ann's share is 4 parts. The difference in parts is 6 - 4 = 2 parts. Step 2: Calculate the value of one ratio part. We are given that Ann got sh. 700,000 less than Christine, which corresponds to the 2 parts difference. 2 parts = sh. 700,000 1 part = sh. 700,0002 = sh. 350,000 Step 3: Calculate the total number of ratio parts. Total parts = 4 + 5 + 6 = 15 parts. Step 4: Calculate the total amount of money shared. Total amount = Total parts × Value of 1 part Total amount = 15 × sh. 350,000 = sh. 5,250,000 The amount of money they shared is sh. 5,250,000. b) Calculate the amount of money Christine got. Step 1: Use Christine's ratio part and the value of one part. Christine's share is 6 parts. Value of 1 part = sh. 350,000. Step 2: Calculate Christine's amount. Christine's amount = 6 × sh. 350,000 = sh. 2,100,000 The amount of money Christine got is sh. 2,100,000. That's 2 down. 3 left today — send the next one.