ifbernardes
ScottTargetTestPrep
Bunuel
A retailer sells 5 shirts. The first 2 he sells for $64 and $39. If the retailer wishes to sell the 5 shirts for an overall average price of over $50, what must be the minimum average price of the remaining 3 shirts?
A. $49.00
B. $49.67
C. $50.00
D. $51.33
E. $55.50
Letting n be the minimum average price, we can create the equation:
(64 + 39 + 3n)/5 = 50
103 + 3n = 250
3n = 147
n = 49
Answer: A
Hi,
The question asked about an overall price of
over 50, an average price of 49 for the remaining shirts would let the overall average price equal to 50, not over it, wouldn't it?
Thank you!!
Technically, you're correct; an average price of 49 for the remaining shirts results in an overall average price of precisely 50; not over 50. If there was an answer choice of $49.01, that would be the correct answer choice. However, while the next answer choice of $49.67 (or any of the remaining answer choices) satisfy the requirement of "overall average of over $50", they don't satisfy the "minimum" requirement; simply because, for instance, $49.50 or $49.30 or $49.01 are all values which are both smaller than $49.67 and result in an overall average of over $50. While I agree that $49 is not exactly the correct answer for this question, I think it is the closest one among the given choices.