SOLUTION: A stack of 25 U. S. nickels has a height of approximately 1.925 inches. What is the value, in dollars, of a 7-foot high stack of U. S. nickels? Express your answer to the nearest

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Question 549091: A stack of 25 U. S. nickels has a height of approximately 1.925 inches. What is the value, in dollars, of a 7-foot high stack of U. S. nickels? Express your answer to the nearest cent. Show or explain how you got your answer.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
A stack of 25 U. S. nickels has a height of approximately 1.925 inches. What is the value, in dollars, of a 7-foot high stack of U. S. nickels? Express your answer to the nearest cent. Show or explain how you got your answer.
This is the proportion:

height of short stack of nickels   value of short stack of nickels
———————————————————————————————— = ————————————————————————————————— 
height of tall stack of nickels     value of tall stack of nickels
 
But we must first change the 7 feet height of the tall stack to inches.

7ft%2F1×%2812in%29%2F%281ft%29 = 7cross%28ft%29%2F1×%2812in%29%2F%281cross%28ft%29%29 = 84in

and we change the 25 nickels to money 

%2825nickels%29%2F1×%22%24.05%22%2F%281nickel%29 = %2825cross%28nickels%29%29%2F1×%22%24.05%22%2F%281cross%28nickel%29%29 = $1.25

And we let x be the value in money of the tall stack.

Now we substitute in the above proportion:

 1.925    $1.25   
 ————— = —————— 
   84       x

Now we cross multiply:

1.925x = ($1.25)(84)

1.925x = $105

Divide both sides by 1.925

1.925%2F1.925x = %22%24105%22%2F1.925

     x = $54.54545455

That rounds to  $54.55.

Edwin