Question 372776
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You didn't bother to state that the bank contained ONLY dimes and quarters, however since without such presumption you can't solve the problem, we proceed on that basis.


Let *[tex \Large x] represent the number of dimes.  Then *[tex \Large 3x] must represent the number of quarters.  The value of the dimes, in cents, is *[tex \Large 10x], the value of the quarters, in cents, is *[tex \Large 25\,\cdot\,3x\ =\ 75x], and the entire value of the bank contents, in cents, is 680.  Hence:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 10x\ +\ 75x\ =\ 680]


Solve for *[tex \Large x] to get the number dimes.  Multiply by 3 to get the number of quarters.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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