Best Buys

In this case, we can see that brand 2 contains 3 times as much as brand 1 $(200text{ ml} times 3 = 600text{ ml})$, so if we calculate the cost of buying 3 containers of brand 1, that will be the same amount of tomato purée as one container of brand 2.

$text{600 ml of brand 1 costs }=pounds0.80times 3 = pounds 2.40$

This is more than £2.20, so we can see that brand 2 is better value for money.

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The first thing we need to calculate in this question is how many pencils you can buy from brand 1 given that their offer states you get 30% more pencils for free.

$30$

This means that for £4.20 you receive $120+36=156$ pencils instead of 120.

The next step is to calculate how much each pencil costs for each brand.

If brand 1 sells 156 pencils for £4.20, then the price per pencil would be as follows:

$pounds4.20 div 156 = pounds0.0269……$

If brand 2 sells 200 pencils for £6.20, then the price per pencil would be as follows:

$pounds6.20 div 200 = pounds0.031$

As a result, when we compare the two offers, brand 1 is better value for money since the price per pencil is less.

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a)  If Mr Smith is buying 250g of Gorgonzola, then this is one quarter of a kilogram ($1000text{ grams} div 250text{ grams} = 4)$.

If Gorgonzola costs £11.60 per kilogram, then the cost of 250g can be calculated as follows:

$pounds11.60 div 4 = pounds2.90$

b)  In order to compare the prices of both cheeses, we need to work out how much each cheese costs per gram.

The price of Edam can be calculated as follows:

$pounds4.48 div 400 = pounds0.0112 text{ per gram}$

The price of Gorgonzola can be calculated as follows:

$pounds11.60 div1000= pounds0.0116text{ per gram}$

As a result, we can see that the Edam cheese is better value as it costs less.

To work out the difference per gram, it might be easier to change the prices in pounds per gram to prices in pence per gram.

$text{ Edam:}pounds0.0112 times 100 = 1.12text{ pence per gram}$

$text{ Gorgonzola:}pounds0.0116 times 100 = 1.16text{ pence per gram}$

The difference between one gram of Edam and one gram of Gorgonzola can be calculated as follows:

$1.16 – 1.12 = 0.04 text{ pence per gram}$

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An 11 mile journey with Swift Cabs is the trickiest of the three firms to calculate since the first mile is more expensive.  Therefore, the first mile is £3.80 and the remaining 10 miles are charged at £1.60.  The total cost of the journey can be calculated as follows:

$pounds3.00 + pounds 3.80 + (pounds1.60 times 10) = pounds22.80$

An 11 mile journey with Zoom Taxis can be calculated as follows:

$pounds3.80 + (11 times pounds1.60) = pounds21.40$

An 11 mile with journey with Relaxi Cabs can be calculated as follows:

$11 times pounds2.10 = pounds23.10$

The best value company is Zoom Taxis, the next best value is Swift Cabs, and the worst value is Relaxi Cabs.

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