Question 261062
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Let *[tex \Large x] represent the number of children


Let *[tex \Large y] represent the number of adults


Let *[tex \Large z] represent the number of seniors


We know that:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ y\ +\ z\ =\ 570]


We also know that:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2x\ +\ 5y\ +\ 3z\ = 1970]


And finally we know that:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ z\ =\ \frac{3}{4}x]


Solve the system.  I would use the substitution method initially to reduce the system to two equations in two variables.


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