Mathematics

Perfume is sold in two different sizes of bottle
The 80ml bottle is priced at £55
The 50ml bottle is usually priced at £45, but is on special offer
If you buy one 50ml bottle of perfume, you get a second for half price
By calculating the price per ml determine which offer is the best value for money, the 80ml bottle or the two 50ml bottles
You must show your working.

Thank you.

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asked by Joseph
  1. First bottle:
    unit price .... £55/80 ml = 68.75 cents/ml

    2nd bottle:
    50 ml at £45 plus 50 ml at £22.50
    or 100 ml for £67.50
    unit price = £67.50/100 = 67.50 cents/ml

    so what do you think?

    1. 👍 3
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    posted by Reiny
  2. For the first bottle:

    £55÷80= 0.6875

    For the second bottle(s):

    Since we're working out the price for two bottles, add the millilitres together. So:

    50ml + 50ml = 100ml

    Then add the prices together, considering the special offer.

    The first bottle is at £45. The second is half price so, £45÷2= £22.50

    Add the two together: £45 + £22.50= £67.50

    Continue as normal, with the price divided by the amount:

    £67.50÷100= 0.675

    Now, the price of the first bottle per ml was 0.6875. The price for the second bottles was 0.675 altogether. The smaller number is the cheapest price, meaning it is the best buy. 0.675 is smaller than 0.6875

    So, the two 50ml bottles are the better buy.

    (The answer Reiny gave was correct but I thought it would be better to give reasons for each step to avoid confusion)

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    posted by Foster
  3. It was right so lit

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    posted by Bob

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