DS: 1

[ILULA08]

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.

[prindaroy]

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

[tohellandback]

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

[ILULA08]

Thanks for confirming tohellandback
I also got the same answer but this stupid test marked it as E.

[sureshsef]

one more C.

[mehravikas]

IMO - C

[Scott@TargetTestPrep]

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