SOLUTION: Would you rather have a kilometer of quarters or a kilometer of dimes? (in a straight line, with the heads up). How much better is your choice?
Question 169591: Would you rather have a kilometer of quarters or a kilometer of dimes? (in a straight line, with the heads up). How much better is your choice?
You can put this solution on YOUR website! diameter of a quarter is 24.26 mm
diameter of a dime is 17.91 mm
1 km equals 1000000 milimeters
so for quarters divide 1000000/24.26=41220
.......dimes divide 1000000/17.91=55834
41220 multiplied by .25=$10305
55834 multiplied by .10=$5583
almost twice as money in quarters....I think I would choose quarters..lol
interestingly enough if you stacked both 1 kilometer high you would still end up with almost twice the value in quarters.
You can put this solution on YOUR website! i would rather have a kilometer of quarters.
here's why:
in order for me to break even, the diameter of the quarter needs to be 2.5 times the diameter of the dime.
assume the diameter of the quarter is 2.5 and the diameter of the dime is 1.
then 2.5 dimes fit into 1 quarter and i break even.
assume the diameter of the quarter is 3 and the diameter of the dime is 1.
then 3 dimes fit into 1 quarter so i get 30 cents from the dimes and only 25 cents from the quarter.
if the diameter of the quarter is more than 2.5 times the diameter of the dime, then i make more money on the dime.
if the diameter of the quarter is less than 2.5 times the diameter of the dime, then i make more money on the quarter.
the actual diameter of a quarter is 24.26 mm.
the actual diameter of a dime is 17.91 mm.
the ratio is less than 2.5 so the quarter is a better deal since i can only fit 24.26 / 17.91 = 1.35 dimes into a quarter (length only).
this proves out in actual practice.
1 km is equal to 1 million mm
1 million mm / 24.26 = 41220 quarters * .25 = $10,305.
1 million mm / 17.91 = 55835 dimes * .10 = $5,583.
quarters win by a long shot.
the assumption here is that they are lying on their tail side so the thickness of the coin is not a factor.
my choice is a lot better.
$10,305 for the quarters versus $5,583 for the dimes.
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