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

Question 2

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
Calculate the price per gram for each option

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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
Determine the best buy

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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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