\begin{tabular}{|l|l|}\hline Nathi, Paul, and Tim worked in Mr. Setati's garden. Nathi worked for 5 hours, Paul for 4 \ hours and Tim for 3 hours. Mr. Setati gave the boys a total of R600 for their work. How \ should they divide the R 600 among the three of them? & 5 \ \hline\end{tabular}

Question

UpStudy AI · Accepted Answer

To solve the problem of how Nathi, Paul, and Tim should divide the R600 based on the hours they worked, we can follow these steps:

1. **Identify the hours worked by each person:**
   - Nathi: 5 hours
   - Paul: 4 hours
   - Tim: 3 hours

2. **Calculate the total hours worked:**
   $$
   \text{Total hours} = 5 + 4 + 3
   $$

3. **Determine the amount earned per hour:**
   $$
   \text{Earnings per hour} = \frac{600}{\text{Total hours}}
   $$

4. **Calculate the earnings for each person:**
   - Nathi's earnings: $$ \text{Earnings per hour} \times 5 $$
   - Paul's earnings: $$ \text{Earnings per hour} \times 4 $$
   - Tim's earnings: $$ \text{Earnings per hour} \times 3 $$

Let's perform the calculations step by step.

First, we will calculate the total hours worked.
Calculate the value by following steps:
- step0: Calculate:
  $$5+4+3$$
- step1: Add the numbers:
  $$12$$
The total hours worked is $$ 12 $$ hours.

Next, we will calculate the earnings per hour: 
$$
\text{Earnings per hour} = \frac{600}{12}
$$

Now, let's calculate this value.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{600}{12}$$
- step1: Reduce the numbers:
  $$\frac{50}{1}$$
- step2: Calculate:
  $$50$$
The earnings per hour is $$ 50 $$ R.

Now, we can calculate the earnings for each person:

1. **Nathi's earnings:**
   $$
   \text{Nathi's earnings} = 50 \times 5
   $$

2. **Paul's earnings:**
   $$
   \text{Paul's earnings} = 50 \times 4
   $$

3. **Tim's earnings:**
   $$
   \text{Tim's earnings} = 50 \times 3
   $$

Let's calculate these values.
Calculate the value by following steps:
- step0: Calculate:
  $$50\times 3$$
- step1: Multiply the numbers:
  $$150$$
Calculate or simplify the expression $$ 50 * 5 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$50\times 5$$
- step1: Multiply the numbers:
  $$250$$
Calculate or simplify the expression $$ 50 * 4 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$50\times 4$$
- step1: Multiply the numbers:
  $$200$$
The earnings for each person are as follows:

- Nathi's earnings: $$ 250 $$ R
- Paul's earnings: $$ 200 $$ R
- Tim's earnings: $$ 150 $$ R

Thus, the R600 should be divided among Nathi, Paul, and Tim as follows:
- Nathi: R250
- Paul: R200
- Tim: R150
Nathi should receive R250, Paul R200, and Tim R150.

Nathi, Paul, and Tim worked in Mr. Setati's garden. Nathi worked for 5 hours, Paul for 4

hours and Tim for 3 hours. Mr. Setati gave the boys a total of R600 for their work. How

should they divide the R 600 among the three of them? 5

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