You have R18.50 and two of your friends have R12.42 and R15.03. How much more money do you need to hire a taxi for a trip that costs R50?

Here are the solutions for all the problems, including the working out for each sum. Problem 1: Taxi Fare Question: You have R18.50 and two of your friends have R12.42 and R15.03. How much more money do you need to hire a taxi for a trip that costs R50? Step 1: Estimate the total money available and the amount needed. Round each amount to the nearest whole number. Your money: R18.50 ≈ R19 Friend 1's money: R12.42 ≈ R12 Friend 2's money: R15.03 ≈ R15 Taxi cost: R50 Estimated total money available: R19 + R12 + R15 = R46 Estimated money still needed: R50 - R46 = R4 Step 2: Calculate the exact total money available. Total available money = R18.50 + R12.42 + R15.03 Total available money = R45.95 Step 3: Calculate the exact amount of money needed. Money needed = Taxi cost - Total available money Money needed = R50.00 - R45.95 Money needed = R4.05 Step 4: Check the answer using a different calculation. Add the money needed to the total available money to ensure it equals the taxi cost. R45.95 + R4.05 = R50.00 This matches the taxi cost. You need to collect an additional R4.05. Problem 2: Fruit Juice Mixture Question: Your mother is mixing fruit juice for a party. The container can hold 20 litres. She pours in 10.4 litres of soda, 3.63 litres of lime juice and 2.4 litres of pineapple juice. How much orange juice can she still pour in? Step 1: Calculate the total volume of juice already poured into the container. Volume poured = 10.4\,L + 3.63\,L + 2.4\,L Volume poured = 16.43\,L Step 2: Calculate the remaining capacity for orange juice. Remaining capacity = Total container capacity - Volume poured Remaining capacity = 20.00\,L - 16.43\,L Remaining capacity = 3.57\,L She can still pour in 3.57\,L of orange juice. Problem 3: Shopping for Clothes Question: You buy two shirts for R35.20 each and a cap. How much did the cap cost if you get R2.44 change from a R100 note? Step 1: Calculate the total cost of the two shirts. Cost of shirts = 2 × R35.20 Cost of shirts = R70.40 Step 2: Calculate the total amount spent from the R100 note. Total spent = R100.00 - R2.44 Total spent = R97.56 Step 3: Calculate the cost of the cap. Cost of cap = Total spent - Cost of shirts Cost of cap = R97.56 - R70.40 Cost of cap = R27.16 The cap cost R27.16. Problem 4: Saving for a Bicycle Question: You want to buy a bicycle from a friend for R150, and so far you have saved R95. If you earn R16.50 an hour working at a local shop, will you earn enough extra money in three hours? Step 1: Calculate how much more money is needed for the bicycle. Money needed = Bicycle cost - Money saved Money needed = R150.00 - R95.00 Money needed = R55.00 Step 2: Calculate the total money earned in three hours. Money earned = Hourly rate × Number of hours Money earned = R16.50 × 3 Money earned = R49.50 Step 3: Compare the money earned with the money needed. Since R49.50 < R55.00, you will not earn enough extra money in three hours. No, you will not earn enough extra money in three hours. Problem 5: Training Run Distances Question: In your training, you run 8.5 km on each of the first two days, then 7.95 km on the third day and 12.25 km on the fourth day. How many kilometres have you run in total? Step 1: Calculate the total distance run on the first two days. Distance (Day 1 & 2) = 2 × 8.5\,km Distance (Day 1 & 2) = 17.0\,km Step 2: Calculate the total distance run over all four days. Total distance = Distance (Day 1 & 2) + Distance (Day 3) + Distance (Day 4) Total distance = 17.0\,km + 7.95\,km + 12.25\,km Total distance = 37.20\,km You have run a total of 37.20\,km. Problem 6: Nina's Shopping Bill Question: Nina brought items costing R45.78, R13.12 and R42.99. Round the final total to the nearest 5c to calculate how much she paid. Step 1: Calculate the exact total cost of the items. Exact total cost = R45.78 + R13.12 + R42.99 Exact total cost = R101.89 Step 2: Round the total cost to the nearest 5c. To round to the nearest 5c, we look at the last digit of the cents. R101.89: The last digit is 9. The nearest 5c values are R101.85 and R101.90. Since 89 is closer to 90 than 85, we round up. Rounded total cost = R101.90 Nina paid R101.90. Problem 7: Zareenah's Pencils Question: Zareenah bought three pencils at R1.84 each from a supermarket that rounds up totals to the nearest 5c. Calculate how much change she received from a R10 note. Step 1: Calculate the exact total cost of the three pencils. Exact cost of pencils = 3 × R1.84 Exact cost of pencils = R5.52 Step 2: Round the total cost up to the nearest 5c. The supermarket rounds up totals to the nearest 5c. R5.52: The nearest 5c values are R5.50 and R5.55. Rounding up means we go to the next higher 5c increment. Rounded cost of pencils = R5.55 Step 3: Calculate the change received from a R10 note. Change = Amount paid - Rounded cost of pencils Change = R10.00 - R5.55 Change = R4.45 Zareenah received R4.45 change. 3 done, 2 left today. You're making progress.