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: Name 4 problem solving strategies. • Draw a diagram • Look for a pattern • Work backwards • Make a list or table Step 2: Solve the problems. 2.2.1 Number of plates made in one hour = 8 400 Number of plates per package = 15 Number of packages made in one hour = Total platesPlates per package Number of packages = (8400)/(15) = 560 There will be 560 packages made in one hour. 2.2.2 Total books for teacher = 45 Total books for doctor = 45 Teacher's novels = (1)/(5) × 45 = 9 novels Doctor's novels = (2)/(3) × 45 = 30 novels Difference in novels = Teacher's novels - Doctor's novels Difference = 9 - 30 = -21 The teacher has 21 fewer novels than the doctor. (Or the doctor has 21 more novels than the teacher). 2.2.3 Original bill amount = R350,60 VAT rate = 15% VAT amount = 15\% × R350,60 VAT amount = 0.15 × 350.60 = R52.59 Total bill amount = Original bill amount + VAT amount Total bill amount = 350.60 + 52.59 = R403.19 The total amount of the bill will be R403,19. 2.2.4 Cost of one 2-litre bottle = R18,40 Number of bottles bought = 10 Total cost of bottles = 10 × R18,40 = R184,00 Volume of one bottle = 2 litres = 2000 ml Total volume of cold drinks = 10 × 2000 ml = 20000 ml Volume per glass = 200 ml Number of glasses = Total volumeVolume per glass Number of glasses = 20000 ml200 ml = 100 glasses Selling price per glass = R5 Total revenue from selling glasses = 100 × R5 = R500,00 Profit = Total revenue - Total cost Profit = 500.00 - 184.00 = R316.00 Your profit is R316,00. 2.2.5 Original taxi ticket cost = R45,00 Increase percentage = 20% Increase amount = 20\% × R45,00 Increase amount = 0.20 × 45.00 = R9.00 New cost after increase = Original cost + Increase amount New cost = 45.00 + 9.00 = R54.00 The taxi ticket will cost R54,00 after the increase. 2.2.6 Total amount of partnership = R200 000 A owns (3)/(5) B owns (2)/(5) Amount owned by A = (3)/(5) × R200 000 Amount for A = (3)/(5) × 200000 = R120000 Amount owned by B = (2)/(5) × R200 000 Amount for B = (2)/(5) × 200000 = R80000 A owns R120 000 and B owns R80 000. 2.2.7 Total amount invested = R30 000 (assuming R3 0000 means R30 000) Ratio for income to capital growth = 3:5 Total parts in ratio = 3 + 5 = 8 Amount invested for income = (3)/(8) × R30 000 Amount for income = (3)/(8) × 30000 = R11250 Amount invested for capital growth = (5)/(8) × R30 000 Amount for capital growth = (5)/(8) × 30000 = R18750 R11 250 is invested for income and R18 750 is invested for capital growth. 2.2.8 Cans per box = 12 Number of boxes = 9 Total cans = Cans per box × Number of boxes Total cans = 12 × 9 = 108 There will be 108 cans in 9 boxes. Send me the next one 📸