Best Buys Textbook Exercise - Corbettmaths - Free Printable
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Show Answer Key & Explanations
Step-by-step solution for: Best Buys Textbook Exercise - Corbettmaths
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Show Answer Key & Explanations
Step-by-step solution for: Best Buys Textbook Exercise - Corbettmaths
To determine which option is better value for money in each pair, we need to calculate the unit price (price per item or per unit of weight/volume) for each option and then compare them. Let's solve each part step by step.
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#### (a) 1 ticket for £8 or 3 tickets for £20
- Option 1: 1 ticket for £8
- Unit price = £8 per ticket
- Option 2: 3 tickets for £20
- Unit price = £20 ÷ 3 ≈ £6.67 per ticket
Comparison: £6.67 < £8
Better value: 3 tickets for £20
---
#### (b) 1 sandwich for £2.50 or 2 sandwiches for £5.20
- Option 1: 1 sandwich for £2.50
- Unit price = £2.50 per sandwich
- Option 2: 2 sandwiches for £5.20
- Unit price = £5.20 ÷ 2 = £2.60 per sandwich
Comparison: £2.50 < £2.60
Better value: 1 sandwich for £2.50
---
#### (c) 2 pizzas for £12 or 4 pizzas for £28
- Option 1: 2 pizzas for £12
- Unit price = £12 ÷ 2 = £6 per pizza
- Option 2: 4 pizzas for £28
- Unit price = £28 ÷ 4 = £7 per pizza
Comparison: £6 < £7
Better value: 2 pizzas for £12
---
#### (d) 3 doughnuts for 60p or 6 doughnuts for £1
- Option 1: 3 doughnuts for 60p
- Unit price = 60p ÷ 3 = 20p per doughnut
- Option 2: 6 doughnuts for £1
- Unit price = £1 ÷ 6 ≈ 16.67p per doughnut
Comparison: 16.67p < 20p
Better value: 6 doughnuts for £1
---
#### (e) 6 eggs for 96p or 12 eggs for £1.80
- Option 1: 6 eggs for 96p
- Unit price = 96p ÷ 6 = 16p per egg
- Option 2: 12 eggs for £1.80
- Unit price = £1.80 ÷ 12 = 15p per egg
Comparison: 15p < 16p
Better value: 12 eggs for £1.80
---
#### (f) 1 litre of milk for 67p or 2 litres of milk for £1.35
- Option 1: 1 litre of milk for 67p
- Unit price = 67p per litre
- Option 2: 2 litres of milk for £1.35
- Unit price = £1.35 ÷ 2 = 67.5p per litre
Comparison: 67p < 67.5p
Better value: 1 litre of milk for 67p
---
#### (g) 100g of ham for £1.20 or 300g of ham for £3.50
- Option 1: 100g of ham for £1.20
- Unit price = £1.20 ÷ 100g = £0.012 per gram
- Option 2: 300g of ham for £3.50
- Unit price = £3.50 ÷ 300g ≈ £0.0117 per gram
Comparison: £0.0117 < £0.012
Better value: 300g of ham for £3.50
---
#### (h) 5kg of potatoes for £2.50 or 20kg of potatoes for £10.50
- Option 1: 5kg of potatoes for £2.50
- Unit price = £2.50 ÷ 5kg = £0.50 per kg
- Option 2: 20kg of potatoes for £10.50
- Unit price = £10.50 ÷ 20kg = £0.525 per kg
Comparison: £0.50 < £0.525
Better value: 5kg of potatoes for £2.50
---
#### (i) 500ml of lemonade for 89p or 1 litre of lemonade for £1.70
- Option 1: 500ml of lemonade for 89p
- Unit price = 89p ÷ 500ml = 0.178p per ml
- Option 2: 1 litre (1000ml) of lemonade for £1.70
- Unit price = £1.70 ÷ 1000ml = 0.17p per ml
Comparison: 0.17p < 0.178p
Better value: 1 litre of lemonade for £1.70
---
\[
\boxed{
\begin{array}{ll}
(a) & \text{3 tickets for £20} \\
(b) & \text{1 sandwich for £2.50} \\
(c) & \text{2 pizzas for £12} \\
(d) & \text{6 doughnuts for £1} \\
(e) & \text{12 eggs for £1.80} \\
(f) & \text{1 litre of milk for 67p} \\
(g) & \text{300g of ham for £3.50} \\
(h) & \text{5kg of potatoes for £2.50} \\
(i) & \text{1 litre of lemonade for £1.70} \\
\end{array}
}
\]
---
Question 1: For each pair, decide which is better value for money.
#### (a) 1 ticket for £8 or 3 tickets for £20
- Option 1: 1 ticket for £8
- Unit price = £8 per ticket
- Option 2: 3 tickets for £20
- Unit price = £20 ÷ 3 ≈ £6.67 per ticket
Comparison: £6.67 < £8
Better value: 3 tickets for £20
---
#### (b) 1 sandwich for £2.50 or 2 sandwiches for £5.20
- Option 1: 1 sandwich for £2.50
- Unit price = £2.50 per sandwich
- Option 2: 2 sandwiches for £5.20
- Unit price = £5.20 ÷ 2 = £2.60 per sandwich
Comparison: £2.50 < £2.60
Better value: 1 sandwich for £2.50
---
#### (c) 2 pizzas for £12 or 4 pizzas for £28
- Option 1: 2 pizzas for £12
- Unit price = £12 ÷ 2 = £6 per pizza
- Option 2: 4 pizzas for £28
- Unit price = £28 ÷ 4 = £7 per pizza
Comparison: £6 < £7
Better value: 2 pizzas for £12
---
#### (d) 3 doughnuts for 60p or 6 doughnuts for £1
- Option 1: 3 doughnuts for 60p
- Unit price = 60p ÷ 3 = 20p per doughnut
- Option 2: 6 doughnuts for £1
- Unit price = £1 ÷ 6 ≈ 16.67p per doughnut
Comparison: 16.67p < 20p
Better value: 6 doughnuts for £1
---
#### (e) 6 eggs for 96p or 12 eggs for £1.80
- Option 1: 6 eggs for 96p
- Unit price = 96p ÷ 6 = 16p per egg
- Option 2: 12 eggs for £1.80
- Unit price = £1.80 ÷ 12 = 15p per egg
Comparison: 15p < 16p
Better value: 12 eggs for £1.80
---
#### (f) 1 litre of milk for 67p or 2 litres of milk for £1.35
- Option 1: 1 litre of milk for 67p
- Unit price = 67p per litre
- Option 2: 2 litres of milk for £1.35
- Unit price = £1.35 ÷ 2 = 67.5p per litre
Comparison: 67p < 67.5p
Better value: 1 litre of milk for 67p
---
#### (g) 100g of ham for £1.20 or 300g of ham for £3.50
- Option 1: 100g of ham for £1.20
- Unit price = £1.20 ÷ 100g = £0.012 per gram
- Option 2: 300g of ham for £3.50
- Unit price = £3.50 ÷ 300g ≈ £0.0117 per gram
Comparison: £0.0117 < £0.012
Better value: 300g of ham for £3.50
---
#### (h) 5kg of potatoes for £2.50 or 20kg of potatoes for £10.50
- Option 1: 5kg of potatoes for £2.50
- Unit price = £2.50 ÷ 5kg = £0.50 per kg
- Option 2: 20kg of potatoes for £10.50
- Unit price = £10.50 ÷ 20kg = £0.525 per kg
Comparison: £0.50 < £0.525
Better value: 5kg of potatoes for £2.50
---
#### (i) 500ml of lemonade for 89p or 1 litre of lemonade for £1.70
- Option 1: 500ml of lemonade for 89p
- Unit price = 89p ÷ 500ml = 0.178p per ml
- Option 2: 1 litre (1000ml) of lemonade for £1.70
- Unit price = £1.70 ÷ 1000ml = 0.17p per ml
Comparison: 0.17p < 0.178p
Better value: 1 litre of lemonade for £1.70
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
(a) & \text{3 tickets for £20} \\
(b) & \text{1 sandwich for £2.50} \\
(c) & \text{2 pizzas for £12} \\
(d) & \text{6 doughnuts for £1} \\
(e) & \text{12 eggs for £1.80} \\
(f) & \text{1 litre of milk for 67p} \\
(g) & \text{300g of ham for £3.50} \\
(h) & \text{5kg of potatoes for £2.50} \\
(i) & \text{1 litre of lemonade for £1.70} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of the best buy worksheet answers.