Hi, 

Let x represent the number of $8 boxes.  then (580-x) would be the number of $6 boxes

8x + 6(580-x) = $4340

2x = 4340 - 3480

2x = 860

x = 430, the number of $8 boxes.  150 the number of $6 boxes (580-430)

checking our answer

$8*430 + $6*150 = $4340 

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