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Audrey started a stokvel on 1 February 2015 to save for the December holidays - NSC Mathematical Literacy - Question 1 - 2016 - Paper 1

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Audrey started a stokvel on 1 February 2015 to save for the December holidays. She invited 21 friends to join the stokvel. The aim was to continue with the stokvel a... show full transcript

Worked Solution & Example Answer:Audrey started a stokvel on 1 February 2015 to save for the December holidays - NSC Mathematical Literacy - Question 1 - 2016 - Paper 1

Step 1

Determine the total amount deposited in the bank account after the first meeting.

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Answer

To calculate the total amount deposited:

  • The initial fee per member is R250, and there are 22 members (21 friends + Audrey).

  • Therefore, the total initial fees collected is:

    extInitialFees=22imes250=R5,500 ext{Initial Fees} = 22 imes 250 = R5,500

  • The monthly contribution per member is R400, with 22 members making contributions.

  • Thus, the total monthly contributions for the first meeting is:

    extMonthlyContributions=22imes400=R8,800 ext{Monthly Contributions} = 22 imes 400 = R8,800

  • Adding the initial fees and the monthly contributions gives the total:

    extTotalAmount=R5,500+R8,800=R14,300 ext{Total Amount} = R5,500 + R8,800 = R14,300

Step 2

Calculate the total amount Lena had to pay on 13 July when she made her payment.

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Answer

Lena did not make her payment by the 7th, so she incurs a fine. The monthly contribution is R400, and the fine for late payment is 4.75% of the monthly contribution:

extFine=R400imes0.0475=R19 ext{Fine} = R400 imes 0.0475 = R19

  • Therefore, the total amount Lena has to pay is:

    extTotalPayment=R400+R19=R419 ext{Total Payment} = R400 + R19 = R419

Step 3

Calculate the equal amount that each member received on 20 December 2015.

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Answer

The total amount in the stokvel account on 20 December 2015 is R110,614.84. Since all 22 members contributed, the amount each member received can be calculated as:

ightarrow ext{approximately } R5,030.67$$

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