Question 604041
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Let *[tex \Large x] represent the number of dimes and let *[tex \Large y] represent the number of nickels.


Since there are a total of 241 coins and they are all either dimes or nickels, then:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ y\ =\ 241]


The value of *[tex \Large x] dimes in cents is *[tex \Large 10x] because each dime is worth ten cents.  Likewise, the value of *[tex \Large y] nickels in cents is *[tex \Large 5y].  The total value of the coins, $15.65, can also be expressed in cents by moving the decimal point, i.e. 1565 cents.  Hence:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 10x\ +\ 5y\ =\ 1565]


Solve the 2X2 system for *[tex \LARGE (x,y)]  


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