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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 need to calculate the price per gram for each packet:

  1. Option A: 100 g for $0.40

    • Price per gram: ( \frac{0.40}{100} = 0.004 ) or $0.004 per gram
  2. Option B: 500 g for $1.65

    • Price per gram: ( \frac{1.65}{500} = 0.0033 ) or $0.0033 per gram
  3. Option C: 1 kg (1000 g) for $3.50

    • Price per gram: ( \frac{3.50}{1000} = 0.0035 ) or $0.0035 per gram
  4. Option D: 2 kg (2000 g) for $6.90

    • Price per gram: ( \frac{6.90}{2000} = 0.00345 ) or $0.00345 per gram

Step 2

Determine the best option

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Answer

Now, let's compare the prices per gram:

  • Option A: $0.004 per gram
  • Option B: $0.0033 per gram
  • Option C: $0.0035 per gram
  • Option D: $0.00345 per gram

The lowest price per gram is for Option B: 500 g for $1.65.

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