Question 219675
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Let *[tex \Large x] represent the number of small boxes sold.  Let *[tex \Large y] represent the number of large boxes sold.  Then *[tex \Large 3x] dollars is the amount of money collected from the sale of small boxes and *[tex \Large 4y] dollars is the amount of money collected from the sale of large boxes.


We know that:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x + y = 59]


because 59 boxes of both sizes were sold.  We also know that:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3x + 4y = 200]


because sales totaled $200.  So, since *[tex \Large x + y = 59], we can say


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y = 59 - x]


Given this relationship we can say:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3x + 4(59 - x) = 200]


by substitution of *[tex \Large 59 - x] for *[tex \Large y]


Now all you have to do is solve for *[tex \Large x] to find the number of small boxes sold and then subtract that from 59 to find the number of large boxes sold.



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