What must you work out before you can say which deal is best?

The total price of each deal for the quantity you actually want. The best deal is simply the cheapest of those totals, so every offer has to be turned into a single figure before any comparison can be made.

True or False? The shop with the lowest price per item always gives the lowest total price.

False. An offer can beat a lower headline price: 24 calculators at £7.15 each come to £171.60, but a shop charging £8 each with every fourth one half price supplies them for £168. This is why each deal has to be totalled rather than judged on its sticker price.

What extra costs should you check for when comparing deals?

Anything charged on top of the items themselves, most often postage . An extra charge belongs in that deal's total, and adding it can change which shop turns out to be the cheapest.

What are the two ways of comparing deals of different sizes?

Either work out the price of one unit in each deal, by dividing the price by the number of units. Or work out how many units you get for £1 , by dividing the number of units by the price.

True or False? A 500 g jar at £2.00 is better value than a 750 g jar at £2.85.

False. The 500 g jar works out at 0.4p per gram, while the 750 g jar works out at 0.38p per gram. The larger jar is the better value even though it costs more to buy.

Why can two deals of different sizes not be compared by price alone?

Because the two prices are buying different amounts, so they are not measuring the same thing. Reducing both deals to a common basis , either one unit or one pound's worth, is what makes the two figures comparable at all.

National 5MathsSQAApplications of MathematicsFlashcardsFinancial SkillsBest Deals

Best Deals (SQA National 5 Applications of Mathematics): Flashcards

Exam code: X844 75

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FrontComparing Different Products
What must you work out before you can say which deal is best?

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What must you work out before you can say which deal is best?
The total price of each deal for the quantity you actually want.
The best deal is simply the cheapest of those totals, so every offer has to be turned into a single figure before any comparison can be made.
How do you work out the cost of a buy-2-get-1-free offer when you need 15 items?
Each use of the offer supplies 3 items for the price of 2, so work out what one use costs.
Then find how many uses you need, $15 \div 3 = 5$ , and multiply the price of one use by 5.
Dividing by 2 rather than 3 is the usual slip: count the items you receive, not the items you pay for.
A shop charges £8 per calculator and offers a fourth calculator at half price when you buy three. Complete the cost of one set of four:
$\pounds 8 + \pounds 8 + \pounds 8 +______=______$
The completed cost is:
$\pounds 8 + \pounds 8 + \pounds 8 + \pounds 4 = \pounds 28$
Three calculators are charged in full and the fourth is halved, so a set of four costs £28 rather than £32.
A shop charges £9 per calculator with 20% off the total for orders over 15. What do 24 calculators cost?
They cost £172.80.
Without the discount they come to $24 \times \pounds 9 = \pounds 216$ .
The order qualifies for the discount, so apply the decrease multiplier 0.8: $\pounds 216 \times 0.8 = \pounds 172.80$ .
True or False?
The shop with the lowest price per item always gives the lowest total price.
False.
An offer can beat a lower headline price: 24 calculators at £7.15 each come to £171.60, but a shop charging £8 each with every fourth one half price supplies them for £168.
This is why each deal has to be totalled rather than judged on its sticker price.
What extra costs should you check for when comparing deals?
Anything charged on top of the items themselves, most often postage.
An extra charge belongs in that deal's total, and adding it can change which shop turns out to be the cheapest.
What are the two ways of comparing deals of different sizes?
Either work out the price of one unit in each deal, by dividing the price by the number of units.
Or work out how many units you get for £1, by dividing the number of units by the price.
Complete the two tests for picking the winner:
With price per unit you choose the deal with the $______$ figure, but with units per £1 you choose the deal with the $______$ figure instead.
The completed sentence is:
With price per unit you choose the deal with the lowest figure, but with units per £1 you choose the deal with the highest figure instead.
The two tests point opposite ways because one measures money and the other measures goods, so always check which one you have worked out.
3 caps cost £22.50 at Baseball World and 5 caps cost £36 at Head Hut. Which is better value?
Head Hut is better value.
One cap costs $\pounds 22.50 \div 3 = \pounds 7.50$ at Baseball World and $\pounds 36 \div 5 = \pounds 7.20$ at Head Hut.
With price per item the lower figure wins, and £7.20 is less than £7.50.
50 litres cost £3.20 and 30 litres cost £1.95. Using litres per £1, which is better value?
The 50 litre deal is better value.
It gives $50 \div 3.20 = 15.625$ litres per pound, against $30 \div 1.95 = 15.384 . . .$ litres per pound.
More litres for the same pound is better, so here the larger figure wins.
True or False?
A 500 g jar at £2.00 is better value than a 750 g jar at £2.85.
False.
The 500 g jar works out at 0.4p per gram, while the 750 g jar works out at 0.38p per gram.
The larger jar is the better value even though it costs more to buy.
Why can two deals of different sizes not be compared by price alone?
Because the two prices are buying different amounts, so they are not measuring the same thing.
Reducing both deals to a common basis, either one unit or one pound's worth, is what makes the two figures comparable at all.

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