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Sugar is sold in four different sized packets - HSC - SSCE Mathematics Standard - Question 2 - 2019 - Paper 1

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Sugar is sold in four different sized packets. Which is the best buy? A. 100 g for $0.40 B. 500 g for $1.65 C. 1 kg for $3.50 D. 2 kg for $6.90

Worked Solution & Example Answer:Sugar is sold in four different sized packets - HSC - SSCE Mathematics Standard - Question 2 - 2019 - Paper 1

Step 1

Calculate the price per gram for each option

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Answer

To determine the best buy, we calculate the price per gram for each packet:

  • Option A:

    • 100 g for $0.40
    • Price per gram = ( \frac{0.40}{100} = 0.004 ) or 0.4 cents/g
  • Option B:

    • 500 g for $1.65
    • Price per gram = ( \frac{1.65}{500} = 0.0033 ) or 0.33 cents/g
  • Option C:

    • 1 kg (1000 g) for $3.50
    • Price per gram = ( \frac{3.50}{1000} = 0.0035 ) or 0.35 cents/g
  • Option D:

    • 2 kg (2000 g) for $6.90
    • Price per gram = ( \frac{6.90}{2000} = 0.00345 ) or 0.345 cents/g

Step 2

Determine the best buy

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Answer

After comparing the prices per gram:

  • Option A: 0.4 cents/g
  • Option B: 0.33 cents/g (best buy)
  • Option C: 0.35 cents/g
  • Option D: 0.345 cents/g

Therefore, the best buy is Option B: 500 g for $1.65.

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