Question 662502
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Let *[tex \LARGE x] represent the number of nickels, *[tex \LARGE y] represent the number of dimes, and *[tex \LARGE z] represent the number of quarters.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ y\ +\ z\ =\ 8]


because the total number of coins is 8


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 5x\ +\ 10y\ +\ 25z\ =\ 80]


because the total FACE value of the coins is 80 cents, each nickel is worth 5 cents, each dime is worth 10 cents, and each quarter is worth 25 cents.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3x\ +\ 2y\ +\ 5z\ =\ 22]


because the total SALE value of the coins is 22 dollars, each nickel is worth 3 dollars, each dime is worth 2 dollars, and each quarter is worth 5 dollars.


Solve the 3X3 system.  Report the value of *[tex \LARGE z]


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