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Martha needs to buy school uniforms for her son and daughter - NSC Mathematical Literacy - Question 1 - 2022 - Paper 1

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Martha needs to buy school uniforms for her son and daughter. She compares the prices of three different stores as shown in TABLE 1 below. TABLE 1: COST OF UNIFORMS... show full transcript

Worked Solution & Example Answer:Martha needs to buy school uniforms for her son and daughter - NSC Mathematical Literacy - Question 1 - 2022 - Paper 1

Step 1

Identify whether the prices given in TABLE 1 are numerical or categorical data.

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Answer

The prices given in TABLE 1 are classified as numerical data because they represent measurements of quantity associated with monetary values.

Step 2

Arrange, in ascending order, all the prices after Store B.

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Answer

The prices after Store B in ascending order are:

  • R16.00 (Grey Shorts at Store A)
  • R18.99 (Grey school socks at Store B)
  • R39.99 (Grey Shorts at Store C)
  • R44.99 (White shirt at Store B)
  • R54.99 (Grey shirt at Store B)
  • R85.00 (White school socks at Store A)
  • R159.99 (School shoes (girls) at Store B)
  • R169.99 (School shoes (boys) at Store B)
  • R275.00 (School shoes (boys) at Store C)
  • R318.00 (School shoes (boys) at Store A)
  • R349.00 (School shoes (girls) at Store A)
  • R163.00 (Grey shirt at Store A)
  • R130.00 (Grey shirt at Store C)

Step 3

Name the store that sells the cheapest item.

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Answer

The store that sells the cheapest item is Store B, with the grey shorts priced at R16.00.

Step 4

Determine the price of one white school sock at Store C.

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Answer

At Store C, the price for two white school socks is R85.95. Therefore, the price of one white school sock at Store C is:

rac{85.95}{2} = 42.975

So, the price is approximately R42.98.

Step 5

Determine the missing value P, if Martha bought all the school items as advertised at Store A.

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Answer

To determine the missing value P, we need to calculate the total cost of all items at Store A:

  • White shirt: R110.00 for 2
  • Grey shirt: R163.00
  • Grey shorts: R16.00
  • Grey school socks: R40.50 for 2 packs
  • White school socks: R85.00 for 2
  • School shoes (girls): R349.00
  • School shoes (boys): R318.00

Now, add these up:

P=110.00+163.00+16.00+40.50+85.00+349.00+318.00=1,081.50P = 110.00 + 163.00 + 16.00 + 40.50 + 85.00 + 349.00 + 318.00 = 1,081.50

Therefore, the missing value P is R1,081.50.

Step 6

Define the term probability in the given context.

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Answer

In this context, probability refers to the likelihood or chance of an event occurring. Specifically, it measures the chances of selecting Store C among all options for buying school items.

Step 7

Write down this probability as a percentage rounded to the nearest whole number.

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Answer

The probability given is 0.3333333333. To convert this to a percentage, multiply by 100:

0.3333333333imes100=33.33333333extextpercent0.3333333333 imes 100 = 33.33333333 ext{ } ext{percent}

Rounded to the nearest whole number, this probability is 33%.

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