how many stacked quarters equal the diameter of a quarter

Answer 1

I will solve this using algebra and no real values.

How many stacked quarters equal the diameter of a quarter?

I am assuming that the quarters are stacked to form a cylinder and not a straight line (because otherwise this question would be trivial in that you could just stack one quarter on its edge and it would equal the diameter of a quarter). Neglecting the trivial answer, we can set the height of a quarter = h and the diameter of a quarter = d. We can also set the number of quarters in our stack = x which is ultimately what we are solving.

Using my defined variables, I can set up an equation:

x*h = d , where each variable is defined as above.

Then I just solve for x:

x = d/h

and that's it!

I would like to remark that if x is not an integer, then one could estimate and choose high or low side. But this is how I would set up the problem using algebra.

Thank you for your question and I hope this helps!

-MJM