• e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider

Rate problem

This topic has 2 member replies
datonman Senior | Next Rank: 100 Posts Default Avatar
Joined
28 May 2014
Posted:
53 messages

Rate problem

Post Wed Nov 12, 2014 12:56 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    To mail a package, the rate is x cents for the first pound and y cents for each additional pound, where x>y. Two packages weighing 3 pounds and 5 pounds, respectively, can be mailed separately or combined as one package. Which method is cheaper, and how much money is saved?

    A)Combined, with a savings of x-y cents
    B)Combined, with a savings of y-x cents
    C)Combined, with a savings of x cents
    D)Separately, with a savings of x-y cents
    E)Separately, with a savings of y cents

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Wed Nov 12, 2014 8:27 pm
    Hi datonman,

    This question can be solved in a couple of different ways, but it's perfect for TESTing VALUES.

    We're told that X > Y so let's use:

    X = 3 cents for the first pound
    Y = 2 cents for each additional pound

    With these numbers….
    A 3-pound package would cost 3 + 2(2) = 7 cents
    A 5-pound package would cost 3 + 4(2) = 11 cents

    An 8-pound package would cost 3 + 7(2) = 17 cents

    So mailing them separately costs 18 cents total, while mailing them combined costs 17 cents total.

    We're asked which option would be cheaper and by how much. We know that mailing the packages combined is cheaper, so we just need to plug in X = 3 and Y = 2 into the first 3 answers and confirm that only one of them gives us an answer of 1 cent...

    Final Answer: A

    GMAT assassins aren't born, they're made,
    Rich

    _________________
    Contact Rich at Rich.C@empowergmat.com

    Thanked by: datonman
    Mathsbuddy Master | Next Rank: 500 Posts Default Avatar
    Joined
    08 Nov 2013
    Posted:
    447 messages
    Followed by:
    1 members
    Thanked:
    25 times
    Post Fri Nov 14, 2014 6:33 am
    Package A: 3 lb = 1 lb + 2 lb, so cost A = x + 2y
    Package B: 5 lb = 1 lb + 4 lb, so cost B = x + 4y

    Therefore Separately, cost S = A + B = 2x + 6y

    Combined: 8 lb = 1 lb + 7 lb, cost C = x + 7y

    As x > y, we could say that x = y + t (where x,y,t > 0)

    So, S = 2(y + t) + 6y = 8y + 2t
    and C = y + t + 7y = 8y + t

    Therefore C < S with difference = t = x - y
    So COMBINED is cheaper by (x - y)
    Answer A.

    Thanked by: datonman

    Best Conversation Starters

    1 Vincen 152 topics
    2 lheiannie07 61 topics
    3 Roland2rule 49 topics
    4 LUANDATO 44 topics
    5 ardz24 40 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

    140 posts
    2 image description Rich.C@EMPOWERgma...

    EMPOWERgmat

    110 posts
    3 image description EconomistGMATTutor

    The Economist GMAT Tutor

    109 posts
    4 image description GMATGuruNY

    The Princeton Review Teacher

    107 posts
    5 image description DavidG@VeritasPrep

    Veritas Prep

    72 posts
    See More Top Beat The GMAT Experts