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by ILULA08 » Tue Aug 11, 2009 8:14 pm
If Ann saves x dollars each week and Beth saves y dollars each week, what is the total amount that they save per week?
(1) Beth saves $5 more per week than Ann saves per week.
(2) It takes Ann 6 weeks to save the same amount that Beth saves in 5 weeks.
Last edited by ILULA08 on Wed Aug 12, 2009 7:46 pm, edited 1 time in total.
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Source: — Data Sufficiency |
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by prindaroy » Tue Aug 11, 2009 9:02 pm
I'd go with C.

Statement 1: Insuff: y = x + 5, tells us nothing about the total

Statement 2: Insuff: 6x = 5y

Together: 6x = 5x + 25, x = 25, y =30, x+y = 55
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by tohellandback » Tue Aug 11, 2009 9:04 pm
IMO C
(1) Beth saves $5 more per week than Ann saves per week.

NOT SUFF

2)It takes Ann 6 weeks to save the same amount that Beth saves in 5 weeks

LCM is 30
if we take multiples of 30: 30,60,90,120,150,180...
we get X=5,Y=6 or X=10,Y=12...so on
NOT SUFF

combined,
the only value possible is 150
where X=25, Y=30
they save 55 dollars per week
SUFF
The powers of two are bloody impolite!!
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by ILULA08 » Tue Aug 11, 2009 9:14 pm
Thanks for confirming tohellandback :)
I also got the same answer but this stupid test marked it as E.
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by sureshsef » Tue Aug 11, 2009 9:54 pm
one more C.
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by mehravikas » Thu Aug 13, 2009 1:28 pm
IMO - C
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Re: DS: 1

by Scott@TargetTestPrep » Wed Jun 16, 2021 3:32 am
ILULA08 wrote: ↑
Tue Aug 11, 2009 8:14 pm
 If Ann saves x dollars each week and Beth saves y dollars each week, what is the total amount that they save per week?
(1) Beth saves $5 more per week than Ann saves per week.
(2) It takes Ann 6 weeks to save the same amount that Beth saves in 5 weeks.
Solution:

Question Stem Analysis:

We need to determine the total amount Ann and Beth save each week, given that Ann saves x dollars each week and Beth saves y dollars each week. That is, we need to determine the value of x + y.

Statement One Alone:

This tells us that y = x + 5. However, without knowing the value of either x or y, we can’t determine the value of x + y. Statement one alone is not sufficient.

Statement Two Alone:

We see that 6x = 5y. However, without knowing the value of either x or y, we can’t determine the value of x + y. Statement two alone is not sufficient.

Statements One and Two Together:

With the two statements, we have two linear equations and two variables. Note that neither equation is dependent on the other, which means that one equation is not a linear multiple of the other. Thus, we can determine the values of x and y and hence the value of x + y. Both statements together are sufficient.

Answer: C

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