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 Author: Bunuel [ 13 Mar 2020, 03:55 ] Post subject: A rental car agency owns a total of 5x cars and 2x trucks, where x is A rental car agency owns a total of 5x cars and 2x trucks, where x is a positive integer. If the agency purchases c new cars, will the new ratio of cars to trucks be at least 3 to 1 ?(1) c = x + 5 (2) x = 11

 Author: GMATWhizTeam [ 13 Mar 2020, 05:37 ] Post subject: Re: A rental car agency owns a total of 5x cars and 2x trucks, where x is Bunuel wrote:A rental car agency owns a total of 5x cars and 2x trucks, where x is a positive integer. If the agency purchases c new cars, will the new ratio of cars to trucks be at least 3 to 1 ?(1) c = x + 5 (2) x = 11Step 1: Analyze Question Stem• Total cars = 5x• Total trucks = 2x.o x is a positive integer.• Current ratio of cars to trucks = 5: 2, which can be written as 2.5: 1 (by dividing both values by 2)• New cars purchased = co Thus, total cars = 5x + c• New ratio = (5x + c) : 2x, which can be written as $$\frac{{5x + c}}{2x}: 1$$ (by dividing both values by 2x)o We need to find out if $$\frac{{5x +c}}{2x} ≥ 3$$ or not $$5x + c ≥ 6x$$ c ≥ x or not.Thus, if c ≥ x, then the ratio will be at least 3 to 1. Keeping this in mind, let’s analyze each statement.Step 2: Analyze individual statementsStatement 1: c = x + 5• If c = x + 5, then that means c ≥ x.o Thus, the ratio will definitely be at least 3 to 1.Hence, statement 1 is sufficient and we can eliminate answer options B, C, and E.Statement 2: x = 11.• This statement doesn’t tell us, if c ≥ x or not.Hence, statement 2 is not sufficient and the current answer is Option A.

 Author: Dillesh4096 [ 15 Mar 2020, 07:25 ] Post subject: Re: A rental car agency owns a total of 5x cars and 2x trucks, where x is Bunuel wrote:A rental car agency owns a total of 5x cars and 2x trucks, where x is a positive integer. If the agency purchases c new cars, will the new ratio of cars to trucks be at least 3 to 1 ?(1) c = x + 5 (2) x = 11Total cars = $$5x + c$$ & Total trucks = $$2x$$Question: Is $$\frac{5x + c}{2x} > \frac{3}{1}$$ ?--> Is $$5x + c > 6x$$ ?--> Is $$c > x$$ ?(1) $$c = x + 5$$--> $$c$$ is definitely greater than $$x$$ --> Sufficient(2) $$x = 11$$We do not know anything about the value of "$$c$$" --> InsufficientOption A

 Author: minustark [ 15 Mar 2020, 19:12 ] Post subject: Re: A rental car agency owns a total of 5x cars and 2x trucks, where x is Bunuel wrote:A rental car agency owns a total of 5x cars and 2x trucks, where x is a positive integer. If the agency purchases c new cars, will the new ratio of cars to trucks be at least 3 to 1 ?(1) c = x + 5 (2) x = 11Original ratio of Cars : Trucks = 5x : 2x. That means the company already have 2.5 times cars to trucks. If c is equal or more than 50% of 2x, i.e if c is more than x than the ratio of Cars to trucks will be at least 3 to 1.1) c is 5 more than x. Sufficient.2) It only tells us there were 55 cars and 22 trucks before adding the new cars. Not sufficient.A is the answer.

 Author: bumpbot [ 14 Nov 2022, 05:24 ] Post subject: Re: A rental car agency owns a total of 5x cars and 2x trucks, where x is Hello from the GMAT Club BumpBot!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.

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