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Answer :
Sure, let's go through each exercise step-by-step:
### Exercise 1.3
#### 1. Determine Who Was Paid at a Higher Rate
- Brick Layer:
- Total earnings: R1,392
- Hours worked: 29 hours
- Rate per hour: [tex]\( \frac{R1,392}{29} = R48 \)[/tex] per hour
- Carpenter:
- Total earnings: R935
- Hours worked: 17 hours
- Rate per hour: [tex]\( \frac{R935}{17} = R55 \)[/tex] per hour
The carpenter was paid at a higher rate of R55 per hour compared to the brick layer's R48 per hour.
#### 2. Calculate the Time to Fill the Drum
- Water Rate: 0.15 liters per second
- Drum Capacity: 30 liters
- Time required: [tex]\( \frac{30 \, \text{liters}}{0.15 \, \text{liters/second}} = 200 \)[/tex] seconds
It will take 200 seconds to fill the drum with 30 liters of water.
#### 3. Determine the Best Value Tin and Cheapest Way to Buy Paint
- 1-litre Tin: R52
- Cost per litre: R52
- 5-litre Tin: R214
- Cost per litre: [tex]\( \frac{R214}{5} = R42.8 \)[/tex]
- 20-litre Tin: R894
- Cost per litre: [tex]\( \frac{R894}{20} = R44.7 \)[/tex]
The 5-litre tin offers the best value at R42.8 per litre.
Buying 24 liters:
- Buy one 20-litre tin and one 5-litre tin:
- 20-litre can: R894
- 5-litre can: R214
- Total cost for 25 liters: [tex]\( R894 + R214 = R1102 \)[/tex]
Thus, to get 24 liters, the cheapest way is to buy one 20-litre and one 5-litre tin, costing R1102 in total.
### Exercise 1.3
#### 1. Determine Who Was Paid at a Higher Rate
- Brick Layer:
- Total earnings: R1,392
- Hours worked: 29 hours
- Rate per hour: [tex]\( \frac{R1,392}{29} = R48 \)[/tex] per hour
- Carpenter:
- Total earnings: R935
- Hours worked: 17 hours
- Rate per hour: [tex]\( \frac{R935}{17} = R55 \)[/tex] per hour
The carpenter was paid at a higher rate of R55 per hour compared to the brick layer's R48 per hour.
#### 2. Calculate the Time to Fill the Drum
- Water Rate: 0.15 liters per second
- Drum Capacity: 30 liters
- Time required: [tex]\( \frac{30 \, \text{liters}}{0.15 \, \text{liters/second}} = 200 \)[/tex] seconds
It will take 200 seconds to fill the drum with 30 liters of water.
#### 3. Determine the Best Value Tin and Cheapest Way to Buy Paint
- 1-litre Tin: R52
- Cost per litre: R52
- 5-litre Tin: R214
- Cost per litre: [tex]\( \frac{R214}{5} = R42.8 \)[/tex]
- 20-litre Tin: R894
- Cost per litre: [tex]\( \frac{R894}{20} = R44.7 \)[/tex]
The 5-litre tin offers the best value at R42.8 per litre.
Buying 24 liters:
- Buy one 20-litre tin and one 5-litre tin:
- 20-litre can: R894
- 5-litre can: R214
- Total cost for 25 liters: [tex]\( R894 + R214 = R1102 \)[/tex]
Thus, to get 24 liters, the cheapest way is to buy one 20-litre and one 5-litre tin, costing R1102 in total.
Thanks for taking the time to read Exercise 1 3 1 A bricklayer earned R1 392 for a job that took 29 hours A carpenter earned R935 for a job that took. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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