5xercise 7 1.1 How much will it cost to buy \( 4,2 \mathrm{~kg} \) of beef mince at a rate of \( \mathrm{R} 44,99 / \mathrm{kg} \) ? 1.2 A pack of beef mince is marked at \( \mathrm{R} 53,99 \), but the weight of the mince has been rubbed off. What is the weight of mince in that pack?

Certainly! Let's solve both parts of Exercise 7 step by step. --- ## Exercise 7 ### 1.1 Cost of Buying 4.2 kg of Beef Mince **Problem Statement:** How much will it cost to buy \( 4.2 \) kg of beef mince at a rate of \( \mathrm{R} \, 44.99 \) per kg? **Solution:** To find the total cost, multiply the weight of the beef mince by the rate per kilogram. \[ \text{Total Cost} = \text{Weight} \times \text{Rate per kg} \] \[ \text{Total Cost} = 4.2 \, \text{kg} \times \mathrm{R} \, 44.99/\text{kg} \] \[ \text{Total Cost} = \mathrm{R} \, (4 \times 44.99) + \mathrm{R} \, (0.2 \times 44.99) \] \[ \text{Total Cost} = \mathrm{R} \, 179.96 + \mathrm{R} \, 8.998 \] \[ \text{Total Cost} = \mathrm{R} \, 188.958 \] Since currency is typically rounded to two decimal places: \[ \text{Total Cost} \approx \mathrm{R} \, 188.96 \] **Answer:** It will cost approximately **R 188.96** to buy 4.2 kg of beef mince. --- ### 1.2 Determining the Weight of Beef Mince from Total Cost **Problem Statement:** A pack of beef mince is marked at \( \mathrm{R} \, 53.99 \), but the weight of the mince has been rubbed off. What is the weight of mince in that pack? **Given:** - Total Cost \( = \mathrm{R} \, 53.99 \) - Rate per kg \( = \mathrm{R} \, 44.99/\text{kg} \) **Solution:** To find the weight, divide the total cost by the rate per kilogram. \[ \text{Weight} = \frac{\text{Total Cost}}{\text{Rate per kg}} \] \[ \text{Weight} = \frac{\mathrm{R} \, 53.99}{\mathrm{R} \, 44.99/\text{kg}} \] \[ \text{Weight} \approx 1.2 \, \text{kg} \] **Verification:** \[ 1.2 \, \text{kg} \times \mathrm{R} \, 44.99/\text{kg} = \mathrm{R} \, 53.988 \approx \mathrm{R} \, 53.99 \] **Answer:** The pack contains approximately **1.2 kg** of beef mince. ---