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A retailer sells 5 shirts. The first 2 he sells for $64 and $39. If th

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A retailer sells 5 shirts. The first 2 he sells for $64 and $39. If th  [#permalink]

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New post 23 Oct 2019, 01:07
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Re: A retailer sells 5 shirts. The first 2 he sells for $64 and $39. If th  [#permalink]

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New post 23 Oct 2019, 07:10
39+64+x=5×50=250
So,x=250-103=147
147÷3=49$

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Re: A retailer sells 5 shirts. The first 2 he sells for $64 and $39. If th  [#permalink]

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New post 23 Oct 2019, 07:25
Bunuel wrote:
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


\(64 + 39 + 3x = 50*5\)

Or, \(3x = 250 - 103\)

So, \(x = 49\), Answer must be (A)
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Re: A retailer sells 5 shirts. The first 2 he sells for $64 and $39. If th  [#permalink]

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New post 23 Oct 2019, 08:34
Question is asking average need to be just over 50$
64+39+3x=50∗564+39+3x=50∗5

Or, 3x=250−1033x=250−103

So, x=49 x=49

it gives you x=49, if u consider average 50$, but we need average>50$
So it has to be just above >49$

So OA:B
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Re: A retailer sells 5 shirts. The first 2 he sells for $64 and $39. If th  [#permalink]

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New post 27 Oct 2019, 19:55
Bunuel wrote:
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
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A retailer sells 5 shirts. The first 2 he sells for $64 and $39. If th  [#permalink]

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New post 02 Nov 2019, 14:29
ScottTargetTestPrep wrote:
Bunuel wrote:
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!!
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Re: A retailer sells 5 shirts. The first 2 he sells for $64 and $39. If th  [#permalink]

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New post 04 Nov 2019, 19:49
ifbernardes wrote:
ScottTargetTestPrep wrote:
Bunuel wrote:
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.
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Scott Woodbury-Stewart

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Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

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Re: A retailer sells 5 shirts. The first 2 he sells for $64 and $39. If th   [#permalink] 04 Nov 2019, 19:49
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