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
Here are the solutions to your questions: 1.1 To find the percentage Samuel got for the first test: Step 1: Divide the score by the total marks and multiply by 100. Percentage = (27)/(60) × 100\% Percentage = 0.45 × 100\% Percentage = 45\% Samuel got 45% for the first test. 1.2 To find the percentage Samuel got for the second test: Step 1: Divide the score by the total marks and multiply by 100. Percentage = (17)/(40) × 100\% Percentage = 0.425 × 100\% Percentage = 42.5\% Samuel got 42.5% for the second test. 1.2.1 What percentage did he get the second test? He got 42.5%. 1.2.2 In which test did Samuel do better, Test 1 or Test 2? Comparing the percentages: Test 1 (45%) and Test 2 (42.5%). Samuel did better in Test 1. 2. To calculate the tip amount: Step 1: Convert the percentage to a decimal. 15\% = 0.15 Step 2: Multiply the bill amount by the decimal percentage. Tip Amount = 0.15 × R749.46 Tip Amount = R112.419 Tip Amount ≈ R112.42 The waitress will receive R112.42 as a tip. 3. To calculate Jimmy's new hourly earnings: Step 1: Calculate the increase amount. Increase = 6.5\% × R18.00 Increase = 0.065 × R18.00 Increase = R1.17 Step 2: Add the increase to the original hourly rate. New Hourly Rate = R18.00 + R1.17 New Hourly Rate = R19.17 Jimmy will earn R19.17 per hour after the increase. 4. To calculate how much you would pay after the discount: Step 1: Calculate the discount amount. Discount = 33\% × R350.00 Discount = 0.33 × R350.00 Discount = R115.50 Step 2: Subtract the discount from the original selling price. New Price = R350.00 - R115.50 New Price = R234.50 You would pay R234.50 for the pair of pants. 5. To calculate the percentage increase in population: Step 1: Calculate the population increase. Increase = 3,500,000 - 2,900,000 = 600,000 Step 2: Divide the increase by the original population and multiply by 100%. Percentage Increase = (600,000)/(2,900,000) × 100\% Percentage Increase ≈ 0.206896 × 100\% Percentage Increase ≈ 20.69\% The percentage increase in the population from 2001 to 2007 was approximately 20.69%. 6. To find the cost price of the necklaces: Let the cost price be C. The selling price is R55.00, which includes a 40% mark-up on the cost price. So, Selling Price = Cost Price + 40% of Cost Price R55.00 = C + 0.40C R55.00 = 1.40C Step 1: Divide the selling price by 1.40 to find the cost price. C = R55.001.40 C ≈ R39.2857 C ≈ R39.29 It costs her R39.29 to make the necklaces. That's 2 down. 3 left today — send the next one.