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

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UpStudy AI · Accepted 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**.
Bill had R4,900 left after making the payments.

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