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# Ross has 40 shirts, 3/4 of the shirts are green and 1/10 is without

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Math Expert
Joined: 02 Sep 2009
Posts: 58445
Ross has 40 shirts, 3/4 of the shirts are green and 1/10 is without  [#permalink]

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19 Jun 2016, 10:42
1
3
00:00

Difficulty:

35% (medium)

Question Stats:

71% (02:10) correct 29% (01:55) wrong based on 167 sessions

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Ross has 40 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green.

A. 6 ; 10.
B. 4 ; 25.
C. 4 ; 10.
D. 5 ; 25.
E. 3 ; 10.

_________________
SVP
Joined: 06 Nov 2014
Posts: 1873
Re: Ross has 40 shirts, 3/4 of the shirts are green and 1/10 is without  [#permalink]

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20 Jun 2016, 00:55
Bunuel wrote:
Ross has 40 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green.

A. 6 ; 10.
B. 4 ; 25.
C. 4 ; 10.
D. 5 ; 25.
E. 3 ; 10.

Total shirts = 40
Green shirts = 3/4*40 = 30, Non green shirts = 10
Shirts without button = 1/10*40 = 4, shirts with button = 36

Required: Range of shirts with buttons that are not green.
Maximum non green shirts with buttons = number of non green shirts = 10
Minimum non green shirts with buttons (All without button shirts are non green) = Non green shirts - shirts without button = 10 - 4 = 6

Hence the range would be (6, 10)

Correct Option: A
Director
Joined: 20 Feb 2015
Posts: 762
Concentration: Strategy, General Management
Re: Ross has 40 shirts, 3/4 of the shirts are green and 1/10 is without  [#permalink]

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20 Jun 2016, 02:41
total shirts Ross has 40
green shirts = 40*3/4=30
shirts without buttons = 40*1/10=4

shirts that are not green = 10

1. If all the shirts without buttons are not green = 4 , the max he can have is 10 -4 = 6 shirts with buttons that are not green
2.If all the shirts without buttons are green , he can then have 10 shirts with buttons that are not green

therefore between 6 and 10
Manager
Joined: 18 Jan 2018
Posts: 50
Re: Ross has 40 shirts, 3/4 of the shirts are green and 1/10 is without  [#permalink]

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21 Jan 2018, 11:33
Attachment:

Ross.jpg [ 36.48 KiB | Viewed 1441 times ]

Case 1: Total 40 shirts - 30 green shirts - 4 without buttons = 6 non green & with button shirts
Case 2: Total 40 shirts - 30 green shirts (including 4 without buttons) = 10 non green & with button shirts.

Just restarted my GMAT life. Desperate for KUDOs
Re: Ross has 40 shirts, 3/4 of the shirts are green and 1/10 is without   [#permalink] 21 Jan 2018, 11:33
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