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: Solve Question 1a. Add the given numbers: 43501 + 3450 + 120 + 2 43501 3450 120 + 2 47073 The sum is 47073. Step 2: Solve Question 1b. Subtract 4564 from 6000: 6000 - 4564 6000 4564 1436 The difference is 1436. Step 3: Find the LCM of 6, 8, 12. First, find the prime factorization of each number: 6 = 2 × 3 8 = 2 × 2 × 2 = 2^3 12 = 2 × 2 × 3 = 2^2 × 3 To find the LCM, take the highest power of each prime factor present in any of the numbers: Highest power of 2 is 2^3. Highest power of 3 is 3^1. Multiply these highest powers: LCM = 2^3 × 3^1 = 8 × 3 = 24. The LCM is 24. Step 4: Find the HCF of 10, 15, 25. First, find the prime factorization of each number: 10 = 2 × 5 15 = 3 × 5 25 = 5 × 5 = 5^2 To find the HCF, identify the common prime factors and take the lowest power of each common factor: The only common prime factor is 5. The lowest power of 5 common to all is 5^1. HCF = 5. The HCF is 5. Step 5: Answer Question 3 based on the bar chart. The y-axis represents the amount sold in FRS. i) Monday: The bar for Monday reaches 5000 FRS. He sold 5000 FRS on Monday. ii) Tuesday: The bar for Tuesday reaches 4000 FRS. He sold 4000 FRS on Tuesday. iii) Wednesday: The bar for Wednesday reaches halfway between 5000 FRS and 6000 FRS, which is 5500 FRS. He sold 5500 FRS on Wednesday. iv) Thursday: The bar for Thursday reaches halfway between 2000 FRS and 3000 FRS, which is 2500 FRS. He sold 2500 FRS on Thursday. v) Friday: The bar for Friday reaches 6000 FRS. He sold 6000 FRS on Friday. vi) How much did he sell throughout the week? Add the sales from Monday to Friday: 5000 + 4000 + 5500 + 2500 + 6000 9000 + 5500 + 2500 + 6000 14500 + 2500 + 6000 17000 + 6000 23000 FRS He sold 23000 FRS throughout the week. vii) On which days did he not sell? The bars for Saturday and Sunday are at 0 FRS, indicating no sales. He did not sell on Saturday and Sunday.