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## Mathematics

tagged by: Brent@GMATPrepNow

This topic has 5 expert replies and 0 member replies
Diophantus Newbie | Next Rank: 10 Posts
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22 Aug 2017
Posted:
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#### Mathematics

Tue Aug 22, 2017 8:54 am
Three sets of beans x, y and z are sold for $5.00,$15.00 and $17.50 respectively per kg. If they are mixed in the ratio 1:3:2, what is the cost per kg of the mixture? ### GMAT/MBA Expert Brent@GMATPrepNow GMAT Instructor Joined 08 Dec 2008 Posted: 11487 messages Followed by: 1229 members Upvotes: 5254 GMAT Score: 770 Tue Aug 22, 2017 9:40 am Diophantus wrote: Three sets of beans x, y and z are sold for$5.00, $15.00 and$17.50 respectively per kg. If they are mixed in the ratio 1:3:2, what is the cost per kg of the mixture?
You're missing the 5 answer choices.

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Brent

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Brent@GMATPrepNow GMAT Instructor
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Tue Aug 22, 2017 9:49 am
Diophantus wrote:
Three sets of beans x, y and z are sold for $5.00,$15.00 and $17.50 respectively per kg. If they are mixed in the ratio 1:3:2, what is the cost per kg of the mixture? Nevertheless, here's one approach: Let's combine 1 kg of the X Beans, 3 kg of the Y Beans and 2 kg of the Z Beans This allows us to have the desired 1:3:2 ratio COST of 1 kg of the X Beans =$5.00
COST of 3 kg of the Y Beans = (3)($15.00) =$45.00
COST of 2 kg of the Z Beans = (2)($17.50)$35.00

TOTAL cost = $5.00 +$45.00 + $35.00 =$85
TOTAL weight = 1 kg + 3 kg + 2 kg = 6 kg

Cost per kg = $85/6 kg = 14 1/6 dollars per kg â‰ˆ$14.17 per kg

Cheers,
Brent

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Rich.C@EMPOWERgmat.com Elite Legendary Member
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Tue Aug 22, 2017 1:28 pm
Hi Diophantus ,

Brent's explanation is spot-on, so I won't rehash any of that here. Instead, I want to point out that including the 5 answer choices is important. On a variety of questions, the answer choices are designed to give you a 'hint' as how you might approach the prompt or provide a 'shortcut' so that you don't have to take a long, math-heavy approach to get the correct answer. By not including the answers here, we're essentially forced to do math.

Given the 'weights' of the three values in this question, the average would have to be a little less than $15 (since the two$17.50s won't "offset" the one $5). If the answer choices are 'spread out' to a certain degree, then you might not need to do much math at all to get the correct answer. GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert Matt@VeritasPrep GMAT Instructor Joined 12 Sep 2012 Posted: 2637 messages Followed by: 114 members Upvotes: 625 Target GMAT Score: V51 GMAT Score: 780 Wed Aug 30, 2017 6:06 pm Say you've got one pound of$5, three pounds of $15, and two pounds of$17.50. That gives you six pounds for $85, or$85/6 per pound for the lot, which works out to $14+(1/6) ... an unpayable price. Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now! ### GMAT/MBA Expert Jay@ManhattanReview GMAT Instructor Joined 22 Aug 2016 Posted: 1058 messages Followed by: 22 members Upvotes: 470 Wed Aug 30, 2017 9:02 pm Hi Diophantus, Great explanations by the experts. Something for you to work... I modified the question as follows. Pl. attempt this one. Quote: Three sets of beans x, y and z are sold for$4.37, $14.37 and$19.37, respectively per kg. If they are mixed in the ratio 1:3:2, what is the cost per kg of the mixture?
-Jay
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