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5.1 Letitia buys a new bakkie with a portion of her retirement funds - NSC Mathematical Literacy - Question 5 - 2022 - Paper 2

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5.1 Letitia buys a new bakkie with a portion of her retirement funds. Dimensions of her bakkie and her existing garage are shown below. DIMENSIONS OF HER BAKKIE W... show full transcript

Worked Solution & Example Answer:5.1 Letitia buys a new bakkie with a portion of her retirement funds - NSC Mathematical Literacy - Question 5 - 2022 - Paper 2

Step 1

Identify which view of the bakkie is represented by the dimensions 1 815 mm × 1 860 mm.

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Answer

The dimensions 1 815 mm × 1 860 mm correspond to a rear view of the bakkie, as it best represents the overall height and width in a proportion that accurately depicts the bakkie's appearance from this angle.

Step 2

Calculate the value of D (the space between the sides of the bakkie and the side walls of the garage) if the bakkie is parked exactly in the middle of the garage.

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Answer

To find the space D, we first need to convert the garage width from meters to millimeters: 3.6 m = 3600 mm. The width of the bakkie is 1860 mm.

Now, calculate the remaining space in the garage:

extSpace=extGarageWidthextBakkieWidth=3600extmm1860extmm=1740extmm ext{Space} = ext{Garage Width} - ext{Bakkie Width} = 3600 ext{ mm} - 1860 ext{ mm} = 1740 ext{ mm}

Since the bakkie is parked in the middle, halve the remaining space:

D=17402=870extmmD = \frac{1740}{2} = 870 ext{ mm}

Thus, the value of D is 870 mm.

Step 3

State how many different choices there are for this bakkie.

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Answer

The bakkie comes in four colours: white, black, blue, and green. Additionally, for window tints, there are two options: 35% and 50%.

To find the total number of different choices, multiply the number of colour options by the number of tint options:

extTotalChoices=4extcoloursimes2exttints=8extchoices ext{Total Choices} = 4 ext{ colours} imes 2 ext{ tints} = 8 ext{ choices}

Therefore, there are 8 different choices for the bakkie.

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