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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 find the missing value X for Gauteng in the small livestock column, we need to subtract the total number of horses and cattle from the total number of livestock:
Total small livestock = Total - Horses - Cattle = 4,996 - 1,360 - 796.
Calculating:
.
Thus, the value of X is 1,816.
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 above.
Answer
The total number of animals in TABLE 2 is 4,996, and the number of horses is 1,360. Therefore, the number of animals that are not horses is:
Total - Horses = 4,996 - 1,360 = 3,636.
The probability of NOT selecting a horse can be represented as:
This fraction simplifies but can be presented as it stands for clarity.
Step 3
2.4.3 A farmer visits the display where all the cattle are kept. He is specifically interested in purchasing cattle from the Free State.
Answer
From the table, we see that the number of cattle from the Free State is 363 and the total number of cattle is 796. The probability of selecting a cattle from Free State can be calculated as follows:
To convert this probability into a percentage:
.
Thus, the probability of randomly selecting a cattle from the Free State is approximately 45.6%.