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TABLE 2 below shows the number of horses, small livestock and cattle from the Free State, Gauteng and other provinces on display at the Bloem Agricultural Show - NSC Mathematical Literacy - Question 2 - 2024 - Paper 2
Question 2
TABLE 2 below shows the number of horses, small livestock and cattle from the Free State, Gauteng and other provinces on display at the Bloem Agricultural Show. One ... show full transcript
Worked Solution & Example Answer:TABLE 2 below shows the number of horses, small livestock and cattle from the Free State, Gauteng and other provinces on display at the Bloem Agricultural Show - NSC Mathematical Literacy - Question 2 - 2024 - Paper 2
Step 1
2.4.1 Determine missing value X.
Answer
To determine the missing value X, one can use the total number of small livestock in the table.
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Calculate the total for small livestock:
- Total Small Livestock = 2 840
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Use the existing values to calculate X:
- 1 476 (Free State) + X (Gauteng) + 1 024 (Other) = 2 840.
- Therefore, X = 2 840 - (1 476 + 1 024) = 340.
Step 2
2.4.2 Write down, in simplified fractional form, the probability of NOT randomly selecting a horse from the total number of animals shown in TABLE 2.
Answer
The total number of animals can be calculated as follows:
- Total Horses = 1 360
- Total Small Livestock = 2 840
- Total Cattle = 796
Total Animals = 1 360 + 2 840 + 796 = 4 996.
To find the probability of NOT selecting a horse:
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Calculate the number of non-horses:
- Non-horses = Total Animals - Total Horses = 4 996 - 1 360 = 3 636.
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The probability of NOT selecting a horse is:
- Probability = ( \frac{3 636}{4 996} ).
Step 3
2.4.3 Calculate, as a percentage, the probability of the farmer randomly selecting cattle from the Free State.
Answer
To find this probability:
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Identify the total number of cattle:
- Total Cattle = 796.
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Find the number of Free State cattle:
- Free State Cattle = 363.
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Calculate the probability:
- Probability = ( \frac{363}{796} ).
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Convert this fraction into a percentage:
- Percentage = ( \left( \frac{363}{796} \right) \times 100 \approx 45.607% ).