Question 159913This question is from textbook Strategies for problem solving
: Ok, 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. dwr825
This question is from textbook Strategies for problem solving
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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.
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