Audrey started a stokvel on 1 February 2015 to save for the December holidays - NSC Mathematical Literacy - Question 1 - 2016 - Paper 1
Question 1
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
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
Adding the initial fees and the monthly contributions gives the total:
extTotalAmount=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
Therefore, the total amount Lena has to pay is:
extTotalPayment=R400+R19=R419
Step 3
Calculate the equal amount that each member received on 20 December 2015.
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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: