Photo AI

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

Question icon

Question 1

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

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

Worked Solution & Example Answer:Aggie and 14 friends started a stovel 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 stovel will receive.

96%

114 rated

Answer

Total cans of fish bought: 12 (from Wholesaler A)

Since there are 15 members in the stovel (Aggie + 14 friends), the number of cans each member will receive is calculated by dividing the total amount by the number of members:

extCanspermember=1215=0.8 ext{Cans per member} = \frac{12}{15} = 0.8

Thus, each member receives approximately 0.8 cans of fish.

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 bakkie can carry a maximum weight of 500 kg.

Next, we calculate the total weight of the items:

  • Cake flour: 15 * 12.5 kg = 187.5 kg
  • Maize meal: 30 * 1.5 kg (assuming each 12.5 kg) = 45 kg
  • Rice: 30 * 5 kg = 150 kg
  • Rama: 15 * 1.5 kg = 22.5 kg
  • Rice (10 kg): 15 * 10 kg = 150 kg
  • Canned fish: (12 * 400 g = 4.8 kg) (cans converted to kg) = 4.8 kg
  • Spice: 15 * (0.1 kg = 100 g) = 1.5 kg

Total weight = 187.5 + 45 + 150 + 22.5 + 150 + 4.8 + 1.5 = 561.3 kg.

Since 561.3 kg exceeds the permitted weight of 500 kg, her statement is invalid.

Step 3

1.1.3 Determine, showing ALL calculations, whether she stated is valid.

96%

101 rated

Answer

As calculated above, the total weight is 561.3 kg, which exceeds the half-ton limit.

Thus, Aggie cannot load all these items onto her half-ton bakkie without overloading it.

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

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

To adjust this for inflation, we first calculate the new price for January 2022 using the inflation rate:

extNewPrice=R659.70imes(1+0.053)=R659.70imes1.053=R694.32 ext{New Price} = R659.70 imes (1 + 0.053) = R659.70 imes 1.053 = R694.32

Therefore, the total amount for 5 kg of maize meal from Wholesaler B at the end of January 2022 is R694.32.

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

;