Chocolate cupcakes is sold for R39,99. 2.1.1 Calculate the price per cupcake. 2.1.2 If you want to buy cupcakes for 32 people, and give each person 1 cupcake calculate the total price you will pay for the cupcakes. Michelle did a 5 km parkrun in 42 min. Calculate her average speed per minute. Sam has a local bakery where she sells freshly baked bread. She found the following options of cake wheat flour online: 10 g bag for R 129 or R 33,99 for a \( 2,5 \mathrm{~kg} \) bag. a) Calculate the price per kg of each option. c) Each loaf Sam makes uses 300 g of flour. Calculate the most cost-effecti option for her if she has to bake 75 loaves of bread for an order and she cannot mix options. laine decides to do some research on the price of bread. She found out that the average price per loaf went from R11,24 in 2020 to \( R \) 2021.

Let's break down the problem step by step. ### 2.1.1 Calculate the price per cupcake. The price of one cupcake is given as R39.99. Since this is the price for one cupcake, the price per cupcake is simply: \[ \text{Price per cupcake} = R39.99 \] ### 2.1.2 Calculate the total price for cupcakes for 32 people. If each person gets one cupcake, then for 32 people, the total number of cupcakes needed is 32. Therefore, the total price can be calculated as follows: \[ \text{Total price} = \text{Number of cupcakes} \times \text{Price per cupcake} \] Substituting the values: \[ \text{Total price} = 32 \times R39.99 \] Now, let's calculate this value. ### Average Speed Calculation Michelle did a 5 km parkrun in 42 minutes. To find her average speed in km per minute, we can use the formula: \[ \text{Average speed} = \frac{\text{Distance}}{\text{Time}} = \frac{5 \text{ km}}{42 \text{ min}} \] Now, let's calculate this value. ### Price per kg of Flour For the flour options: 1. **10 g bag for R129**: - To find the price per kg, we first convert grams to kilograms: \[ 10 \text{ g} = 0.01 \text{ kg} \] - The price per kg is: \[ \text{Price per kg} = \frac{R129}{0.01 \text{ kg}} = R12900 \] 2. **R33.99 for a 2.5 kg bag**: - The price per kg is: \[ \text{Price per kg} = \frac{R33.99}{2.5 \text{ kg}} = R13.596 \] ### Cost-Effective Option for Baking Each loaf uses 300 g of flour. For 75 loaves, the total flour needed is: \[ \text{Total flour} = 75 \text{ loaves} \times 300 \text{ g/loaf} = 22500 \text{ g} = 22.5 \text{ kg} \] Now, we will calculate the total cost for each option: 1. **Using the 10 g bag**: - Number of bags needed: \[ \text{Number of bags} = \frac{22500 \text{ g}}{10 \text{ g/bag}} = 2250 \text{ bags} \] - Total cost: \[ \text{Total cost} = 2250 \times R129 \] 2. **Using the 2.5 kg bag**: - Number of bags needed: \[ \text{Number of bags} = \frac{22.5 \text{ kg}}{2.5 \text{ kg/bag}} = 9 \text{ bags} \] - Total cost: \[ \text{Total cost} = 9 \times R33.99 \] ### Average Price of Bread The average price per loaf went from R11.24 in 2020 to an unknown price in 2021. We need more information to calculate the price in 2021. Now, let's perform the calculations for the total price of cupcakes, average speed, and total costs for flour options. Calculate the value by following steps: - step0: Calculate: \(32\times 39.99\) - step1: Multiply the numbers: \(1279.68\) Calculate or simplify the expression \( 129 / 0.01 \). Calculate the value by following steps: - step0: Calculate: \(\frac{129}{0.01}\) - step1: Convert the expressions: \(\frac{129}{\frac{1}{100}}\) - step2: Multiply by the reciprocal: \(129\times 100\) - step3: Multiply the numbers: \(12900\) Calculate or simplify the expression \( 9 * 33.99 \). Calculate the value by following steps: - step0: Calculate: \(9\times 33.99\) - step1: Multiply the numbers: \(305.91\) Calculate or simplify the expression \( 33.99 / 2.5 \). Calculate the value by following steps: - step0: Calculate: \(\frac{33.99}{2.5}\) - step1: Convert the expressions: \(\frac{\frac{3399}{100}}{\frac{5}{2}}\) - step2: Multiply by the reciprocal: \(\frac{3399}{100}\times \frac{2}{5}\) - step3: Reduce the numbers: \(\frac{3399}{50}\times \frac{1}{5}\) - step4: Multiply the fractions: \(\frac{3399}{50\times 5}\) - step5: Multiply: \(\frac{3399}{250}\) Calculate or simplify the expression \( 5 / 42 \). Calculate the value by following steps: - step0: Calculate: \(\frac{5}{42}\) Calculate or simplify the expression \( 2250 * 129 \). Calculate the value by following steps: - step0: Calculate: \(2250\times 129\) - step1: Multiply the numbers: \(290250\) ### Results of the Calculations 1. **Total Price for Cupcakes for 32 People**: \[ \text{Total price} = R1279.68 \] 2. **Average Speed of Michelle**: \[ \text{Average speed} = \frac{5}{42} \text{ km/min} \approx 0.1190 \text{ km/min} \] 3. **Price per kg of Flour**: - For the **10 g bag**: \[ \text{Price per kg} = R12900 \] - For the **2.5 kg bag**: \[ \text{Price per kg} = R13.596 \] 4. **Total Cost for Flour Options**: - Using the **10 g bag**: \[ \text{Total cost} = R290250 \] - Using the **2.5 kg bag**: \[ \text{Total cost} = R305.91 \] ### Conclusion - The total price for cupcakes for 32 people is **R1279.68**. - Michelle's average speed is approximately **0.1190 km/min**. - The price per kg for the 10 g bag is **R12900**, and for the 2.5 kg bag, it is **R13.596**. - The total cost for baking 75 loaves using the 10 g bags is **R290250**, while using the 2.5 kg bags is **R305.91**. Thus, the most cost-effective option for Sam to bake 75 loaves of bread is to use the **2.5 kg bag** of flour. If you have any further questions or need additional calculations, feel free to ask!