An interesting math question...

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shadowstriker86

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Feb 12, 2009
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So i have this jar of quarters i have in my room. it's not even close to a fraction full, i think it has like 8$ worth in there. Now here's the question, the bottle can hold 64 oz. of liquid, how many quarters can fit in a bottle like that and how much money will it be when its full? honestly i have no idea thats why i came here
 

SturmDolch

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May 17, 2009
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Well, first you find out how many quarters fit in 1 oz of -- Wait, what the hell is an oz? *googles* Aha. 1 oz is about 30ml. So find out how many quarters fit in there then multiply by 64.
 

BlindMessiah94

The 94th Blind Messiah
Nov 12, 2009
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An oz is like a shot glass if memory serves. So fill a shot glass up with quarters and then multiply by 64. Or fill it with alcohol and get drunk, either way you'll get an answer.
 

Ridonculous_Ninja

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Alternatively you can't really know because it depends entirely on how the quarters fall in.

Are they all flat to the ground? Sideways? Diagonal?

There's going to be a random amount of space between each quarter. Though Sturmdolch's method is probably the easiest to get fairly accurate with.
 

EchetusXe

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Jun 19, 2008
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About $84? I'll wait for someone to correct me.

Quarter weighs 5.67g. Therefore a dollar in quarters is 22.68g. 30ml in an ounce, 64 x 30 = 1920

1920 / 22.68 = 84.66
 

Tharwen

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May 7, 2009
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That depends on the shape of the bottle and the arrangement of the quarte-

Sturmdolch said:
Well, first you find out how many quarters fit in 1 oz of -- Wait, what the hell is an oz? *googles* Aha. 1 oz is about 30ml. So find out how many quarters fit in there then multiply by 64.
What the hell is a quarter? *Googles* Ah, it's a strange, foreign unit of currency only used by old-fashioned and backwards nations.
[sub][sub]Yes, I know what a quarter is. No, America's not that backwards or old-fashioned.[/sub][/sub]
 

twasdfzxcv

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EchetusXe said:
About $84? I'll wait for someone to correct me.

Quarter weighs 5.67g. Therefore a dollar in quarters is 22.68g. 30ml in an ounce, 64 x 30 = 1920

1920 / 22.68 = 84.66
I like how you casually mixes volume and weight.
 

EchetusXe

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Jun 19, 2008
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twasdfzxcv said:
EchetusXe said:
About $84? I'll wait for someone to correct me.

Quarter weighs 5.67g. Therefore a dollar in quarters is 22.68g. 30ml in an ounce, 64 x 30 = 1920

1920 / 22.68 = 84.66
I like how you casually mixes volume and weight.
$84 buys about 12 miles of gas, go East for 8 miles then South for 4 miles to make an isosceles triangle... so the answer is Wyoming?
 

Koeryn

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Mar 2, 2009
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EchetusXe said:
twasdfzxcv said:
EchetusXe said:
About $84? I'll wait for someone to correct me.

Quarter weighs 5.67g. Therefore a dollar in quarters is 22.68g. 30ml in an ounce, 64 x 30 = 1920

1920 / 22.68 = 84.66
I like how you casually mixes volume and weight.
$84 buys about 12 miles of gas, go East for 8 miles then South for 4 miles to make an isosceles triangle... so the answer is Wyoming?
Nah, Utah.
 

theklng

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May 1, 2008
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Sturmdolch said:
Well, first you find out how many quarters fit in 1 oz of -- Wait, what the hell is an oz? *googles* Aha. 1 oz is about 30ml. So find out how many quarters fit in there then multiply by 64.
on the top of my head, probably 8 quarters per 10 ml (1 cl). multiplied by 64, it's 512 quarters. that again amounts to 128 dollars. im probably off by a few, so it might make the difference between 1-4 quarters per cl, which means the you'll have between 112 and 192 dollars when it's full. good luck counting it.

also give or take space that cant be filled out, i imagine that could amount to somewhere between 6 to 18% of the jar.

shadowstriker86 said:
So i have this jar of quarters i have in my room. it's not even close to a fraction full, i think it has like 8$ worth in there. Now here's the question, the bottle can hold 64 oz. of liquid, how many quarters can fit in a bottle like that and how much money will it be when its full? honestly i have no idea thats why i came here
quoting OP for math.
 

theklng

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EchetusXe said:
About $84? I'll wait for someone to correct me.

Quarter weighs 5.67g. Therefore a dollar in quarters is 22.68g. 30ml in an ounce, 64 x 30 = 1920

1920 / 22.68 = 84.66
you should count volume, not weight.
 

twasdfzxcv

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Mar 30, 2010
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Koeryn said:
EchetusXe said:
twasdfzxcv said:
EchetusXe said:
About $84? I'll wait for someone to correct me.

Quarter weighs 5.67g. Therefore a dollar in quarters is 22.68g. 30ml in an ounce, 64 x 30 = 1920

1920 / 22.68 = 84.66
I like how you casually mixes volume and weight.
$84 buys about 12 miles of gas, go East for 8 miles then South for 4 miles to make an isosceles triangle... so the answer is Wyoming?
Nah, Utah.
It's actually Romania, you forgot to account for wind and slope.
 

spuddaemon

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Nov 9, 2009
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What if the inner diameter of the bottle was exactly the diameter of the said quarters... then each quarter could be placed in the bottle flat on it's side. Perfect efficiency of space... now how tall is the bottle and how thick is a quater, divide and there you have your maximum number of quarters [divide again for $$]
 

Koeryn

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twasdfzxcv said:
Koeryn said:
EchetusXe said:
twasdfzxcv said:
EchetusXe said:
About $84? I'll wait for someone to correct me.

Quarter weighs 5.67g. Therefore a dollar in quarters is 22.68g. 30ml in an ounce, 64 x 30 = 1920

1920 / 22.68 = 84.66
I like how you casually mixes volume and weight.
$84 buys about 12 miles of gas, go East for 8 miles then South for 4 miles to make an isosceles triangle... so the answer is Wyoming?
Nah, Utah.
It's actually Romania, you forgot to account for wind and slope.
This embarrassing, and I like doing long distance shooting! How could I forget these things?!
 

Private Custard

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Dec 30, 2007
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theklng said:
EchetusXe said:
About $84? I'll wait for someone to correct me.

Quarter weighs 5.67g. Therefore a dollar in quarters is 22.68g. 30ml in an ounce, 64 x 30 = 1920

1920 / 22.68 = 84.66
you should count volume, not weight.
Agreed. I've never used oz when talking about liquids as it seems a bit daft. But how much does said liquid weigh if you take a bit of it exactly the same size as a quarter?

Chances are the quarter will weigh more, making working this out by weight pointless.


EDIT: I'm a fool, I work in a bodyshop and our paints are weighed when mixed!! But that proves my point I guess seeing as 1 litre of paint weighs roughly a kilo. If I were to fill the same litre pot with coins, it'd weigh a hell of a lot more, even with all the gaps between them.
 

BlindMessiah94

The 94th Blind Messiah
Nov 12, 2009
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SirBryghtside said:
BlindMessiah94 said:
An oz is like a shot glass if memory serves. So fill a shot glass up with quarters and then multiply by 64. Or fill it with alcohol and get drunk, either way you'll get an answer.
That won't work - you'll have space between the edge of the shot glass and the coins that you wouldn't have in the full sized jar.

I have no idea, personally. interesting question, though, although you would have to have all of the dimensions of said jar before you could even start to answer it.
Yes, but the same is said for the jar and it's edges, so no equation is going to be perfect. It's solid mass trying to occupy solid mass, it can't fill every crevice.
 

Johnson McGee

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Nov 16, 2009
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Fill the jar with quarters, then count the quarters, then you will know.

or just put in a known amount of quarters and measure how high they fill, then multiply by the ratio of jar height/fill height. since the quarters don't fill the jug fully or predictably that's as close as you're going to get to an answer.