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Can someone help me with this really simple yet weird maths problem for me?! watch

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    So long story short, I'm going away on holiday in summer and I've been entrusted the responsibility to purchase everyone's accommodation fee. Because there are 10 of us going, I've had to book 2 houses to fit everyone in.

    In total, it costs hotel A £555 (that allows for 6 people), and hotel B £399 (that allows for 4 people). Now to the part that's confusing me, do I use method one or method two to work out what each person has to pay?

    Method one:
    (£555/6 + £399/4)/2 = £96.125 each or;

    Method two:
    (£555 + £399)/10 = £95.40

    I feel like it's method 2, but I just want to be definitely sure - as any mistake would come from my own pocket, thanks!
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    (Original post by Dr.Pwepper)
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    Why not \frac{555}{6} = 92.5 for those 6 people going to hotel A and \frac{399}{4} = 99.75 for those going to hotel B?
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    (Original post by Zacken)
    Why not \frac{555}{6} = 92.5 for those 6 people going to hotel A and \frac{399}{4} = 99.75 for those going to hotel B?
    because that'd make it unfair on those paying more?
    but then again they're probably going to a slightly better hotel?
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    (Original post by thefatone)
    because that'd make it unfair on those paying more?
    but then again they're probably going to a slightly better hotel?
    Precisely my point.
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    (Original post by Dr.Pwepper)
    So long story short, I'm going away on holiday in summer and I've been entrusted the responsibility to purchase everyone's accommodation fee. Because there are 10 of us going, I've had to book 2 houses to fit everyone in.

    In total, it costs hotel A £555 (that allows for 6 people), and hotel B £399 (that allows for 4 people). Now to the part that's confusing me, do I use method one or method two to work out what each person has to pay?

    Method one:
    (£555/6 + £399/4)/2 = £96.125 each or;

    Method two:
    (£555 + £399)/10 = £95.40

    I feel like it's method 2, but I just want to be definitely sure - as any mistake would come from my own pocket, thanks!
    If you think of it as you're paying out £555 + £399 = £954 then each person needs to give you 10% of that, so £95.40.
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    (Original post by Dr.Pwepper)
    Method one:
    (£555/6 + £399/4)/2 = £96.125 each or;
    In either case, this isn't the correct method (unless you want to pocket some extra cash ):

    96.125 \times 10 = 961.25 but the total cost of the hotels will be 555 + 399=  954 < 961.25.
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    If you want everyone paying the same price then ask yourself: which method will, when paid by 10 people, add up to the total cost of the two hotels?


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    The other method works out halfway between the cost per person for hotel A and the cost per person gor hotel B. But this is not the average cost, because the number of people paying each cost isn't the same

    Does that make sense?
 
 
 
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