Question 317391
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Let *[tex \Large x] represent the number of Jack characters and let *[tex \Large y] represent the number of John characters.  Then from the data given we can write:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ y\ =\ 230]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3x\ -\ 2y\ =\ 170]


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


Hint:  Multiply the first equation by 2 and solve by elimination.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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