A child weighs 44.35 kg. Her father weighs three times as heavy as she does. a) Calculate the total weight of the child and her father. b) i) Find the HCF of 24 and 36. ii) Find the HCF of 15, 20 and

a) Step 1: Determine Ama's weight. Ama's weight = 44.35 kg. Step 2: Determine the father's weight. The father weighs three times as heavy as Ama. Father's weight = 3 × 44.35 kg. 3 × 44.35 = 133.05 kg Step 3: Calculate the total weight of Ama and her father. Total weight = Ama's weight + Father's weight Total weight = 44.35 kg + 133.05 kg 44.35 + 133.05 = 177.40 kg The total weight of Ama and her father is 177.40 kg. b) i) Step 1: Find the factors of 24. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24. Step 2: Find the factors of 36. Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. Step 3: Identify the common factors. Common factors: 1, 2, 3, 4, 6, 12. Step 4: Determine the Highest Common Factor (HCF). The highest common factor is the largest number in the list of common factors. HCF(24, 36) = 12. The HCF of 24 and 36 is 12. b) ii) Step 1: Find the factors of 15. Factors of 15: 1, 3, 5, 15. Step 2: Find the factors of 20. Factors of 20: 1, 2, 4, 5, 10, 20. Step 3: Find the factors of 30. Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30. Step 4: Identify the common factors. Common factors: 1, 5. Step 5: Determine the Highest Common Factor (HCF). The highest common factor is the largest number in the list of common factors. HCF(15, 20, 30) = 5. The HCF of 15, 20 and 30 is 5. c) Step 1: Convert all values to decimals for easy comparison. Given values: 0.125, (1)/(4), 0.12. Convert (1)/(4) to a decimal: (1)/(4) = 0.25 The values in decimal form are: 0.125, 0.25, 0.12. Step 2: Arrange the decimals in ascending order (from smallest to largest). Comparing 0.125, 0.250, and 0.120: 0.120 is the smallest. 0.125 is the next smallest. 0.250 is the largest. Step 3: Write the original values in ascending order. 0.12, 0.125, (1)/(4) The values in ascending order are 0.12, 0.125, (1)/(4).