One for the Mathematicians

[Fitz]

I know we have a fairly smart bunch of members on here, so thought I would see if any one could aid me as its been driving me crazy for the past hour or so.

 

I have a feeling that the answer is so simple to find but can't for the life of me figure out how to get the answer.

 

If anyone knows the answer could you possibly share how you worked it out, so I can see the formula you used or process breakdown. Thanks [ATTACH=CONFIG]147298[/ATTACH]

[Scott]

current = 12% of 425,600 = 51072

Next year = 51072*0.992 = 50663.424

50663.424 = 11%

 

Commuters = (50663.424/11)*100

=460576.58

 

Rounded up 460577

[Pixelfill]

Hi Fitz - I make it 427, 148 460,577

 

currently 12% of commuters (under 35) use the bus

425,600 * 0.12 = 51,072

 

this will decrease by 0.8% next year

51,072 * (1.00 - 0.008) = 51072 * 0.992 =46986.24 50,663.424

 

this equates to 11%. so 100% of commuters under 35 is

46,986.24 50,663.424 * (100/11) = 427,148. 460577

 

I hope this is correct - I have been known to get it wildly wrong though - see I told you

 

Mike

[Scott]

Hi Fitz - I make it 427, 148

 

currently 12% of commuters (under 35) use the bus

425,600 * 0.12 = 51,072

 

this will decrease by 0.8% next year

51,072 * (1.00 - 0.08) = 51072 * 0.92 = 46986.24

 

this equates to 11%. so 100% of commuters under 35 is

46,986.24 * (100/11) = 427,148.

 

I hope this is correct - I have been known to get it wildly wrong though

 

Mike

 

 

I think that's wrong due to the wording. It says that the number of passengers will decrease by 0.8%, not the percentage of passengers. I could be wrong though.

 

100-0.8 = 99.2 / 100 = 0.992 not 0.92.

[Pixelfill]

curse you and your quote, I thought I'd hidden it quick enough

I think my logic is correct, but misread the 0.8 so my (1.00 - 0.08) should have been (1.0 - 0.008) 0.992 i.e as yours is

 

edit: curse you - you also edited it to make me look even more stupid.

 

 

Mike

[Scott]

curse you and your quote, I thought I'd hidden it quick enough

I think my logic is correct, but misread the 0.8 so my (1.00 - 0.08) should have been (1.0 - 0.008) 0.992 i.e as yours is

 

edit: curse you - you also edited it to make me look even more stupid.

 

 

Mike

 

Double sorry, I didn't edit for that reason though... only to explain myself clearer

[Pixelfill]

lol - I'm going to remove myself from maths problems in the future I always end up looking stoopid.

 

My only consolation is that I would have got plenty of marks in a GCSE exam because broadly my workings were correct, even if the answer was wrong - It's just a good job I don't work in Engineering ... Oh dear

 

Mike

[Fitz]

Thanks guys, I managed to get the same answer as Mike after some thought and discussions ... but adopted the same logic using 0.92 rather than using 0.992 as Scott did.

[Scott]

lol - I'm going to remove myself from maths problems in the future I always end up looking stoopid.

 

Mike

 

I generally start giving wild answers or just go against the grain just for the fun of it, not sure what came over me tonight to actually give a proper answer

[Fitz]

I generally start giving wild answers or just go against the grain just for the fun of it, not sure what came over me tonight to actually give a proper answer

 

Thanks Scott

 

 

 

 

 

...and Mike

[AJI]

Bus passengers under 35 = 12% = 51,072

This value to decrease by 0.8%

So... 0.8% of 51,072 = 409 (rounded up)

Therefore the following year the number of 35 year old buss passengers is 51,072 - 409 = 50,663

 

This 50,663 makes up 11% of the total of commuters.

If 50,663 is 11% then 100% would be (50,663/11)*100 = 460,572 (or 460,576.582 if you keep to 3 decimal places and not round up like I did)