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Excessive sugar intake is a health hazard - NSC Mathematical Literacy - Question 3 - 2017 - Paper 1

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Excessive sugar intake is a health hazard. Study the information about the amount of sugar in the chosen items mentioned in TABLE 4 below and answer the questions th... show full transcript

Worked Solution & Example Answer:Excessive sugar intake is a health hazard - NSC Mathematical Literacy - Question 3 - 2017 - Paper 1

Step 1

Rose drinks a can of ice tea and eats two medium muffins for breakfast, one chocolate bar at break and one sports drink in the afternoon. Calculate Rose’s total amount of sugar intake.

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Answer

To calculate the total amount of sugar intake, we can use the following values:

  • Ice tea: 15 g
  • Medium muffin: 10.6 g (2 muffins: 2imes10.6=21.22 imes 10.6 = 21.2 g)
  • Chocolate bar: 4.2 g
  • Sports drink: 28 g

Now, sum these values:

extTotalSugarIntake=15+21.2+4.2+28=68.4extg ext{Total Sugar Intake} = 15 + 21.2 + 4.2 + 28 = 68.4 ext{ g}

Step 2

Determine the number of teaspoons of sugar in the vitamin water drink. Round your answer to the nearest teaspoon.

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Answer

The sugar content in vitamin water is 2.75 g. To convert grams to teaspoons, use the conversion factor (1 teaspoon = 4.18 g):

ightarrow 0.66 ext{ teaspoons} \\ ext{Rounded} ightarrow 1 ext{ teaspoon}$$

Step 3

Calculate the number of cups you will get when you buy 50 bottles of sports drink for your school teams.

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Answer

Each bottle of sports drink has a capacity of 500 mℓ. Therefore, the total volume from 50 bottles is:

extTotalVolume=50imes500extm=25000extm ext{Total Volume} = 50 imes 500 ext{ mℓ} = 25000 ext{ mℓ}

Since 1 cup = 250 mℓ, the number of cups can be calculated as:

ext{Number of Cups} = rac{25000}{250} = 100 ext{ cups}

Step 4

Calculate the volume of the box.

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Answer

To calculate the volume of the box, we can apply the formula:

extVolume=extlengthimesextwidthimesextheight=28extcmimes15extcmimes8extcm=3360extcm3 ext{Volume} = ext{length} imes ext{width} imes ext{height} = 28 ext{ cm} imes 15 ext{ cm} imes 8 ext{ cm} = 3360 ext{ cm}^3

Step 5

Determine the thickness of a chocolate if the area of its base is 35 cm².

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Answer

Using the formula for volume:

extVolume=extareaofbaseimesextthickness, ext{Volume} = ext{area of base} imes ext{thickness},

where we know the volume of one chocolate bar is:

360extcm3=35extcm2imesextthickness360 ext{ cm}^3 = 35 ext{ cm}^2 imes ext{thickness}.

Now solve for thickness:

ightarrow ext{Approximately } 10.29 ext{ cm}$$

Step 6

Calculate the diameter of the tablecloth to be cut from the material, including the additional centimeters for the hem.

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Answer

To find the diameter of the tablecloth, we must add the diameter of the table to the overhang:

extDiameter=130extcm+2imes25extcm=130extcm+50extcm=180extcm ext{Diameter} = 130 ext{ cm} + 2 imes 25 ext{ cm} = 130 ext{ cm} + 50 ext{ cm} = 180 ext{ cm}

Step 7

Calculate the area (in m²) of the tablecloth material.

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Answer

Using the formula for area:

extArea=extLengthimesextBreadth=2.3extmimes2.3extm=5.29extm2 ext{Area} = ext{Length} imes ext{Breadth} = 2.3 ext{ m} imes 2.3 ext{ m} = 5.29 ext{ m}^2

Step 8

Calculate the area (in m²) of a tablecloth to be cut by Lindi.

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Answer

Using the formula:

extArea=extπimes(extradius)2 ext{Area} = ext{π} imes ( ext{radius})^2

First, find the radius:

ext{Radius} = rac{180}{2} = 90 ext{ cm} = 0.9 ext{ m}

Now calculate the area:

extArea=3.142imes(0.9)2=3.142imes0.81=2.54extm2 ext{Area} = 3.142 imes (0.9)^2 = 3.142 imes 0.81 = 2.54 ext{ m}^2

Step 9

Calculate the amount of material wasted when cutting the table cloth.

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Answer

Using the formula for wasted material:

extWastedmaterial=extAreaofmaterialextAreaoftablecloth=5.29extm22.54extm2=2.75extm2 ext{Wasted material} = ext{Area of material} - ext{Area of tablecloth} = 5.29 ext{ m}^2 - 2.54 ext{ m}^2 = 2.75 ext{ m}^2

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