<PRE><B>Question 159913</B>
A retailer spent $48 to purchase a number of special mugs. Two of them were broken in the store, but by selling each of the remaining mugs for $3 above the original cost per mug, she made a total profit of $22. Need to solve for the number of mugs originally purchased? Denoted by n. Having issues wrapping my head around it, would be very thankful for any help. 
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Original cost per mug = 48/n dollars
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EQuATION:
number * price = value
(n-2)*((48/n)+3) = 48 + 22
48 + 3n - (96/n) - 6 = 70
3n -(96/n) = 28
3n^2 - 28n - 96 = 0
(3n+8)(n-12) = 0
Positive solution:
n = 12 (original number of mugs)
Cheers,
Stan H.</PRE>