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.
DS: 1
This topic has expert replies
-
- Legendary Member
- Posts: 752
- Joined: Sun May 17, 2009 11:04 pm
- Location: Tokyo
- Thanked: 81 times
- GMAT Score:680
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
(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!!
-
- Legendary Member
- Posts: 1161
- Joined: Mon May 12, 2008 2:52 am
- Location: Sydney
- Thanked: 23 times
- Followed by:1 members
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7247
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
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
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews