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Year 9 Best Buys and Unit Prices Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 9 ratio & rates worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Ratio & Rates

Year 9 Best Buys and Unit Prices Worksheet — Level 3 — Answers

Find the price for the same amount of each (the unit price), then compare. Show your working.

1.Which is better value: juice at $8.60 for 1 L, or at $17.80 for 2 L?

Answer: $8.60 for 1 L ($0.86 per 100 mL)

  1. First: $8.60 ÷ 10 = $0.86 per 100 mL
  2. Second: $17.80 ÷ 20 = $0.89 per 100 mL
  3. The cheaper unit price is better value.
2.Which is better value: juice at $1.50 for 250 mL, or at $10.80 for 2 L?

Answer: $10.80 for 2 L ($0.54 per 100 mL)

  1. First: $1.50 ÷ 2.5 = $0.60 per 100 mL
  2. Second: $10.80 ÷ 20 = $0.54 per 100 mL
  3. The cheaper unit price is better value.
3.Which is better value: pencils at $10.32 for a pack of 24, or at $6.72 for a pack of 12?

Answer: $10.32 for a pack of 24 ($0.43 per pencil)

  1. First: $10.32 ÷ 24 = $0.43 per pencil
  2. Second: $6.72 ÷ 12 = $0.56 per pencil
  3. The cheaper unit price is better value.
4.Which is better value: oats at $6.00 for 1 kg, or at $15.00 for 2 kg?

Answer: $6.00 for 1 kg ($0.60 per 100 g)

  1. First: $6.00 ÷ 10 = $0.60 per 100 g
  2. Second: $15.00 ÷ 20 = $0.75 per 100 g
  3. The cheaper unit price is better value.
5.Which is better value: pasta at $6.70 for 1 kg, or at $3.80 for 500 g?

Answer: $6.70 for 1 kg ($0.67 per 100 g)

  1. First: $6.70 ÷ 10 = $0.67 per 100 g
  2. Second: $3.80 ÷ 5 = $0.76 per 100 g
  3. The cheaper unit price is better value.
6.Which is better value: oats at $4.05 for 500 g, or at $9.00 for 1 kg?

Answer: $4.05 for 500 g ($0.81 per 100 g)

  1. First: $4.05 ÷ 5 = $0.81 per 100 g
  2. Second: $9.00 ÷ 10 = $0.90 per 100 g
  3. The cheaper unit price is better value.
7.Which is better value: rice at $8.60 for 2 kg, or at $6.20 for 1 kg?

Answer: $8.60 for 2 kg ($0.43 per 100 g)

  1. First: $8.60 ÷ 20 = $0.43 per 100 g
  2. Second: $6.20 ÷ 10 = $0.62 per 100 g
  3. The cheaper unit price is better value.
8.Which is better value: pencils at $1.80 for a pack of 6, or at $3.60 for a pack of 24?

Answer: $3.60 for a pack of 24 ($0.15 per pencil)

  1. First: $1.80 ÷ 6 = $0.30 per pencil
  2. Second: $3.60 ÷ 24 = $0.15 per pencil
  3. The cheaper unit price is better value.
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