(b) You spend \( \frac{5}{7} \) of your money and have R42 left. How much money did you have initially?

Let's denote the initial amount of money you had as \( x \). According to the problem, you spent \( \frac{5}{7} \) of your money, which means you have \( \frac{2}{7} \) of your money left. The amount left is given as R42. We can set up the equation based on this information: \[ \frac{2}{7} x = 42 \] Now, we will solve for \( x \) step by step. 1. **Multiply both sides by 7** to eliminate the fraction: \[ 2x = 42 \times 7 \] 2. **Calculate \( 42 \times 7 \)**: \[ 42 \times 7 = 294 \] So, we have: \[ 2x = 294 \] 3. **Now, divide both sides by 2** to solve for \( x \): \[ x = \frac{294}{2} \] 4. **Calculate \( \frac{294}{2} \)**: \[ x = 147 \] Thus, the initial amount of money you had is R147.