Photo AI

Aggie and 14 friends started a stokvel in order to buy groceries - NSC Mathematical Literacy - Question 1 - 2021 - Paper 2

Question icon

Question 1

Aggie-and-14-friends-started-a-stokvel-in-order-to-buy-groceries-NSC Mathematical Literacy-Question 1-2021-Paper 2.png

Aggie and 14 friends started a stokvel in order to buy groceries. The grocery items bought will be shared equally among all the members of the stokvel. Aggie sourced... show full transcript

Worked Solution & Example Answer:Aggie and 14 friends started a stokvel in order to buy groceries - NSC Mathematical Literacy - Question 1 - 2021 - Paper 2

Step 1

1.1.1 Write down how many cans of fish each member of the stokvel will receive.

96%

114 rated

Answer

The total number of cans of fish bought is 10 cans (6 x 400 g). Each member of the stokvel, which includes Aggie and 14 friends, totals 15 members. To find out how many cans each member will receive, divide the total number of cans by the number of members:

Cans per member=1015=23 cans per member\text{Cans per member} = \frac{10}{15} = \frac{2}{3} \text{ cans per member}

Step 2

1.1.2 Aggie stated that she could load all these items onto her half-ton bakkie without overloading it.

99%

104 rated

Answer

A half-ton (500 kg) bakkie can carry a total weight of 500 kg.

Calculating the total weight of items:

  • Canned fish: 10 cans x 400 g = 4000 g = 4 kg
  • Cake flour: 15 x (12.5 kg) = 187.5 kg
  • Maize meal: 30 x (5 kg) = 150 kg
  • Rama: 15 x (1.45485 kg) = 21.82275 kg
  • Rice: 20 x (10 kg) = 200 kg
  • Canned fish weight: 10 x 0.4 kg = 4 kg
  • Spice: 20 x (0.005 kg) = 0.1 kg

Total weight:

Total Weight=4+187.5+150+21.82275+200+0.1=563.42275 kg\text{Total Weight} = 4 + 187.5 + 150 + 21.82275 + 200 + 0.1 = 563.42275 \text{ kg}

Since 563.4 kg exceeds the half-ton capacity, Aggie is incorrect.

Step 3

1.1.3 Determine, showing ALL calculations, whether Aggie is correct.

96%

101 rated

Answer

As calculated above, the total weight of the groceries is approximately 563.42 kg, which indeed exceeds the capacity of the bakkie. Thus, Aggie's statement is incorrect.

Step 4

1.1.4 Calculate the total amount for 5 kg of maize meal from Wholesaler B at the end of January 2022.

98%

120 rated

Answer

To calculate the total amount for 5 kg of maize meal from Wholesaler B, we need to determine the price increase from 2021 to 2022 due to inflation.

The price from Wholesaler B for 5 kg of maize meal is R659.70.

Applying the inflation rate of 5.3%:

New price: New Price=Old Price×(1+Inflation Rate)\text{New Price} = \text{Old Price} \times (1 + \text{Inflation Rate})/ New Price=659.70×(1+0.053)=659.70×1.053=R696.43\text{New Price} = 659.70 \times (1 + 0.053) = 659.70 \times 1.053 = R696.43

Thus, the total amount for 5 kg of maize meal at the end of January 2022 from Wholesaler B is R696.43.

Join the NSC students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;