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# Each of six students, four girls and two boys, spent an

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Current Student
Joined: 11 May 2008
Posts: 551
Each of six students, four girls and two boys, spent an  [#permalink]

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25 Jul 2008, 03:38
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0% (00:00) correct 0% (00:00) wrong based on 2 sessions

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Each of six students, four girls and two boys, spent an average of \$60 on books. If the girls spent a total amount of \$300, how much did boy X and Y spend on books?
(1) X spent twice as much as Y spent on books.
(2) X spent \$20 more than Y on books.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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Director
Joined: 12 Jul 2008
Posts: 511
Schools: Wharton

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25 Jul 2008, 05:12
arjtryarjtry wrote:
Each of six students, four girls and two boys, spent an average of \$60 on books. If the girls spent a total amount of \$300, how much did boy X and Y spend on books?
(1) X spent twice as much as Y spent on books.
(2) X spent \$20 more than Y on books.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

I get D.

Average spent per student = \$60
Total spent by 6 students = \$60*6 = \$360
X+Y = \$360 - \$300 =\$60

1: sufficient
X = 2Y
X + Y = 3Y = \$60
Y = \$20
X = \$40

2: sufficient

X = Y + \$20
X + Y = Y + \$20 + Y = 2Y + \$20 = \$60
Y = \$20
X = \$40
Senior Manager
Joined: 19 Mar 2008
Posts: 344

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25 Jul 2008, 07:04
Each of six students, four girls and two boys, spent an average of \$60 on books. If the girls spent a total amount of \$300, how much did boy X and Y spend on books?
(1) X spent twice as much as Y spent on books.
(2) X spent \$20 more than Y on books.

g = total spending by 4 girls
x= spending by X
y= spending by Y

x + y + g = 360
g = 300
x+y = 60

(1) alone suffiient

(2) alone sufficient

Ans is D

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Re: DS &nbs [#permalink] 25 Jul 2008, 07:04
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