Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Let S = Sarah's annual income Let M = Mary's annual income Let x = the amount Sarah spends each year Let y = the amount Mary spends each year
Rephrased target question: What is the value of S?
Statement 1: Sarah and Mary earn an annual income in the ratio of 4:3 In other words: S/M = 4:3 Cross multiply to get 3S = 4M Simplify: 3S - 4M = 0 We can't find the value of S, so statement 1 is NOT SUFFICIENT
Statement 2: Sarah and Mary spend money in the ratio of 3:2 and together save $20,000, annually.
Sarah and Mary spend money in the ratio of 3:2 We get x/y = 3/2 Simplify to get: 2x - 3y = 0
Together they save $20,000 annually Sarah's savings + Mary's savings = 20,000 (S - x) + (M - y) = 20,000
We can't find the value of S, so statement w is NOT SUFFICIENT
Statements 1 and 2 combined: We now know that: 3S - 4M = 0 2x - 3y = 0 (S - x) + (M - y) = 20,000
Since we have 3 equations and 4 unknowns, we cannot solve this system for S. So, the combined statements are NOT SUFFICIENT
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________
Check out this awesome article about Anderson on Poets Quants, http://poetsandquants.com/2015/01/02/uclas-anderson-school-morphs-into-a-friendly-tech-hub/ . Anderson is a great place! Sorry for the lack of updates recently. I...