Question
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2. A restaurant employs five people. The two cooks work 36 h each per week for R36 an hour, and the three waiters work 30 hours each per week for R28 an hour. What does the restaurant pay its five employees in total per week? 3. Bonalo ran a 10 km race. Her average speed was 6 km pet hour. How long did it take her in minutes to complete the ra 4. Lucas earns R875,00 in five working days.

Ask by Cook Page. in South Africa
Feb 03,2025

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Tutor-Verified Answer

Answer

- The restaurant pays a total of R5,112 per week to its five employees. - Bonalo took 100 minutes to complete the 10 km race. - Lucas earns R175 each working day.

Solution

Let's solve each problem step by step. ### Problem 2: Total Weekly Pay for Employees **Known Conditions:** - There are 2 cooks. - Each cook works 36 hours per week at R36 per hour. - There are 3 waiters. - Each waiter works 30 hours per week at R28 per hour. **Step 1: Calculate the total pay for the cooks.** - Pay for one cook per week = hours worked × hourly rate - For one cook: \[ \text{Pay}_{\text{cook}} = 36 \, \text{h} \times 36 \, \text{R/h} = 1296 \, \text{R} \] - For two cooks: \[ \text{Total Pay}_{\text{cooks}} = 2 \times 1296 \, \text{R} = 2592 \, \text{R} \] **Step 2: Calculate the total pay for the waiters.** - Pay for one waiter per week = hours worked × hourly rate - For one waiter: \[ \text{Pay}_{\text{waiter}} = 30 \, \text{h} \times 28 \, \text{R/h} = 840 \, \text{R} \] - For three waiters: \[ \text{Total Pay}_{\text{waiters}} = 3 \times 840 \, \text{R} = 2520 \, \text{R} \] **Step 3: Calculate the total pay for all employees.** \[ \text{Total Pay}_{\text{employees}} = \text{Total Pay}_{\text{cooks}} + \text{Total Pay}_{\text{waiters}} = 2592 \, \text{R} + 2520 \, \text{R} = 5112 \, \text{R} \] ### Problem 3: Time Taken to Complete the Race **Known Conditions:** - Distance = 10 km - Average speed = 6 km/h **Step 1: Calculate the time taken in hours.** \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{10 \, \text{km}}{6 \, \text{km/h}} \approx 1.6667 \, \text{h} \] **Step 2: Convert hours to minutes.** \[ \text{Time in minutes} = 1.6667 \, \text{h} \times 60 \, \text{min/h} \approx 100 \, \text{min} \] ### Problem 4: Daily Earnings of Lucas **Known Conditions:** - Lucas earns R875 in five working days. **Step 1: Calculate daily earnings.** \[ \text{Daily Earnings} = \frac{875 \, \text{R}}{5 \, \text{days}} = 175 \, \text{R/day} \] ### Summary of Results 1. The total pay for the five employees per week is **R5112**. 2. Bonalo took approximately **100 minutes** to complete the race. 3. Lucas earns **R175** per day.

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Bonus Knowledge

The restaurant's weekly payroll for the two cooks amounts to R2,592. Each cook works 36 hours at R36 an hour, totaling R1,296 per cook, leading to R2,592 for both. Meanwhile, the three waiters clock in for 30 hours each but earn R28 an hour, which totals R2,520 for all three. When you add these amounts together, the total payroll for all five employees is R5,112 per week. Bonalo’s journey across the 10 km race at an average speed of 6 km per hour took her a total of 1 hour and 40 minutes. To find that time in minutes, we convert the distance and speed relationship: 10 km divided by 6 km/h gives us approximately 1.67 hours. Multiplying 1.67 by 60 minutes gives us 100 minutes—now that's an exciting run!

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