Bill was paid R10 500 to build a cupboard for his neighbour. He gave a \( \frac{1}{5} \) of this money to his brother to pay back a debt. If a \( \frac{1}{6} \) of the paid amount was used to pay for supplies and \( \frac{1}{6} \) of the paid amount was used to pay his helper, how much of the R10 500 did Bill have left? [2] SELECT THE CORRECT ANSWER

To find out how much of the R10,500 Bill had left after making the payments, we can follow these steps: 1. **Calculate the amount given to his brother:** \[ \text{Amount to brother} = \frac{1}{5} \times 10,500 \] 2. **Calculate the amount used for supplies:** \[ \text{Amount for supplies} = \frac{1}{6} \times 10,500 \] 3. **Calculate the amount paid to his helper:** \[ \text{Amount to helper} = \frac{1}{6} \times 10,500 \] 4. **Sum the amounts paid out:** \[ \text{Total paid out} = \text{Amount to brother} + \text{Amount for supplies} + \text{Amount to helper} \] 5. **Calculate the remaining amount:** \[ \text{Remaining amount} = 10,500 - \text{Total paid out} \] Now, let's perform the calculations step by step. ### Step 1: Amount to brother \[ \text{Amount to brother} = \frac{1}{5} \times 10,500 = 2,100 \] ### Step 2: Amount for supplies \[ \text{Amount for supplies} = \frac{1}{6} \times 10,500 = 1,750 \] ### Step 3: Amount to helper \[ \text{Amount to helper} = \frac{1}{6} \times 10,500 = 1,750 \] ### Step 4: Total paid out \[ \text{Total paid out} = 2,100 + 1,750 + 1,750 = 5,600 \] ### Step 5: Remaining amount \[ \text{Remaining amount} = 10,500 - 5,600 = 4,900 \] Thus, the amount Bill had left is **R4,900**.