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In 2015 was mense in diens algemeen om leesmateriaal vir skole saam te stel - NSC Mathematical Literacy - Question 2 - 2017 - Paper 2

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In 2015 was mense in diens algemeen om leesmateriaal vir skole saam te stel. Hulle was volgens die aantal bladsye wat hulle saamgestel het, betraal. Tariewe en inlig... show full transcript

Worked Solution & Example Answer:In 2015 was mense in diens algemeen om leesmateriaal vir skole saam te stel - NSC Mathematical Literacy - Question 2 - 2017 - Paper 2

Step 1

2.1.1 Een van die werkers stel 20 bladsye in 10 ure saam. Toon, deur berekening, of die werker binne die normtid was, of nie.

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Answer

Firstly, we need to calculate the time taken to complete one page:

Time per page=10 hours20 pages=0.5 hours per page\text{Time per page} = \frac{10\text{ hours}}{20\text{ pages}} = 0.5\text{ hours per page}

Next, determine the norm time (standard time) for assembling 20 pages. If 1 page requires 0.5 hours, the norm time for 20 pages is:

Norm time=20 pages×0.5 hours/page=10 hours\text{Norm time} = 20\text{ pages} \times 0.5\text{ hours/page} = 10\text{ hours}

Since the worker took exactly 10 hours, he was within the norm time.

Step 2

2.1.2 Bereken die persentasie verhoging in die tarief vir die saamstelling van materiaal tussen 2013 tot 2015.

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Answer

To calculate the percentage increase:

  1. Find the old rate (2013) and the new rate (2015). Let's say:

    • 2013 rate = X
    • 2015 rate = Y
  2. The formula for percentage increase is:

Percentage Increase=(YXX)×100\text{Percentage Increase} = \left( \frac{Y - X}{X} \right) \times 100

  1. Substitute the appropriate values to find the percentage increase.

Step 3

2.1.3 Verifieer, met die nodige berekening, of die bestuurder se bewering geldig is.

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Answer

To verify the manager's claim, calculate the total pages needed for 10 workers to complete in 7 days:

  1. Total pages per worker:

    • Each worker is assigned to complete 161 pages.
    • For 10 workers, total pages = 10×161=161010 \times 161 = 1610 pages.
  2. Determine the total duration in hours for 10 workers to accomplish this:

    • Total hours available = 7 days×10hours/day=70 hours7 \text{ days} \times 10\: \text{hours/day} = 70\text{ hours}.
  3. Evaluate costs against the claimed budget:

    • If the total work is valid and the cost amount R130,000 is justified by evaluations against the pages that need compiling, report if R4,000 extra is realistic.

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