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# On a hot summer day, a coffee and tea shop sold a container

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Manager
Status: Profile 1
Joined: 20 Sep 2015
Posts: 63
GMAT 1: 690 Q48 V37
GPA: 3.2
WE: Information Technology (Investment Banking)
On a hot summer day, a coffee and tea shop sold a container  [#permalink]

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29 Apr 2017, 11:00
4
00:00

Difficulty:

55% (hard)

Question Stats:

62% (02:16) correct 38% (02:56) wrong based on 50 sessions

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On a hot summer day, a coffee and tea shop sold a container of coffee beans at \$15 and a container of tea bags at \$25. Did the shop sell more containers of coffee beans than containers of tea bags that day?

(1) The average (arithmetic mean) of all containers of coffee beans and tea bags sold that day was \$21.

(2) The aggregate sales of the two items that day was \$420.
Current Student
Joined: 30 Apr 2016
Posts: 72
Location: India
GMAT 1: 720 Q50 V38
GPA: 4
Re: On a hot summer day, a coffee and tea shop sold a container  [#permalink]

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29 Apr 2017, 11:36
jokschmer wrote:
On a hot summer day, a coffee and tea shop sold a container of coffee beans at \$15 and a container of tea bags at \$25. Did the shop sell more containers of coffee beans than containers of tea bags that day?

(1) The average (arithmetic mean) of all containers of coffee beans and tea bags sold that day was \$21.

(2) The aggregate sales of the two items that day was \$420.

IMO

from 1: The average (arithmetic mean) of all containers of coffee beans and tea bags sold that day was \$21.
we know that average of \$15 and \$25 is \$20 ,so more tea bags (\$25) were sold than coffee beans (\$15)

from 2 : The aggregate sales of the two items that day was \$420, so total sale from coffee beans and tea bag was \$820
we cannot determine whether shop sold more containers of coffee beans than containers of tea bags that day
VP
Joined: 05 Mar 2015
Posts: 1003
Re: On a hot summer day, a coffee and tea shop sold a container  [#permalink]

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30 Apr 2017, 00:31
1
jokschmer wrote:
On a hot summer day, a coffee and tea shop sold a container of coffee beans at \$15 and a container of tea bags at \$25. Did the shop sell more containers of coffee beans than containers of tea bags that day?

(1) The average (arithmetic mean) of all containers of coffee beans and tea bags sold that day was \$21.

(2) The aggregate sales of the two items that day was \$420.

let no. of coffee beans = x
no. of tea bags = y

is y>x ???

(1) (15x+25y)/(x+y) = 21
thus 15x+25y = 21x+21y
3x=2y
since x & y are positive integers
y>x

suff....

(2) 15x + 25y =420
x can be 28 then y=0 (x>y)
or x = 8 then y= 12 (y>x)

insuff

Ans A
Re: On a hot summer day, a coffee and tea shop sold a container &nbs [#permalink] 30 Apr 2017, 00:31
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