Question

A supermarket sells milk in two sizes: 4-pint

cartons for 98p or 6-pint cartons for £1.46
Which one of these is the better value?
You must give a reason for your answer.

Answer 1

Answer: The second deal is cheaper (6 pints for £1.46)

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Step-by-step explanation:

We'll need to convert all the money values to the same format. Either we make everything in terms of pence, or everything in terms of pounds. Otherwise, it's like comparing apples to oranges.

If we go with pence, then the £1.46 converts to 146 pence (multiply by 100).

• The first deal is 4 pints for 98p, so the cost per pint is 98/4 = 24.5p
• The second teal is 6 pints for 146p, so the unit cost here is 146/6 = 24.33p approximately.

If we rounded each result to the nearest whole pence, then 24.5 rounds to 25 and 24.33 rounds to 24.

In summary, the unit costs for deals 1 and 2 are 25p and 24p in that order.

The second deal is cheaper by 1 pence per pint. In other words, you save about 1 pence for each pint purchased.

Answer 2

Find the unit rate by dividing price by total units:

0.98 / 4 pints = 0.245 per pint

1.46/ 6 pints = 0.243 per pint

The 6 pint size has a lower price per point so it is the better deal.