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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## mixtures tagged by: Brent@GMATPrepNow ##### This topic has 4 expert replies and 1 member reply ## mixtures please solve Attachments This post contains an attachment. You must be logged in to download/view this file. Please login or register as a user. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 14945 messages Followed by: 1855 members Upvotes: 13060 GMAT Score: 790 Quote: According to the directions on a can of orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounce cans of the concentrate are required to prepare 200 6 ounce servings of orange juice. A. 25 B. 34 C. 50 D. 67 E. 100 The ratio of concentrate to water in the juice mixture = 1:3. Thus, concentrate = 1/4 of the total amount of juice. Since 200 6-ounce servings are to be prepared, the total amount of juice to be prepared = 200*6 = 1200 ounces. Since concentrate constitutes 1/4 of the total, the amount of concentrate needed = 1/4 * 1200 = 300 ounces. Since each can = 12 ounces, the number of cans needed = 300/12 = 25. The correct answer is A. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12442 messages Followed by: 1244 members Upvotes: 5254 GMAT Score: 770 Quote: According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12-ounce can of the concentrate are required to prepare 200 6-ounces serving of orange juice? a)25 b)34 c)50 d)67 e)100 This can be solved using equivalent ratios. The first part tells that, for every 1 can of concentrate, we can make 4 cans of juice. Let's be even more generic, for 1 volume of concentrate, we can make 4 volumes of juice. Okay, now notice that we have a problem with the volume mismatch in the question. It involves 12-ounce cans of concentrate and 6-ounce servings. So, let's reword the question. Instead of making 200 6-ounce servings of juice, let's make 100 12-ounce servings of juice. We're still making the same amount of juice. We're now asking, "How many 12-ounce cans of the concentrate are required to prepare 100 12-ounce serving of orange juice? We'll solve this question using equivalent ratios. (volume of concentrate)/(volume of juice): 1/4 = x/100 Solve for x to get x=25 So, the answer is A Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 9955 messages Followed by: 493 members Upvotes: 2867 GMAT Score: 800 Hi Apoorva@5, This question comes down to how you choose to organize your work and do the math. The individual "steps" involved aren't that tough, but you really have to stay organized to work through this question efficiently. To start, we're given a "recipe" for making orange juice: 1 can of concentrate + 3 cans of water = 4 CANS of juice Next, we're told that each "can" = 12 ounces. Combined with the prior info (above).... 1 can of concentrate + 3 cans of water = 4 cans of juice = 48 OUNCES of juice We're told to make 200 6-ounce servings of juice, which is 200(6) = 1,200 ounces of juice. The question asks how many cans of CONCENTRATE are needed to get us 1,200 ounces (according to the recipe). Since 1 can of concentrate --> 48 ounces of juice, we can do division to figure out the number of cans needed: 1200/48 = 25 cans of concentrate Final Answer: A As I mentioned earlier, there are a number of different ways to "do the math" on this question (and you can even TEST THE ANSWERS), so I'm sure that there will be other approaches mentioned by other posters. GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com Master | Next Rank: 500 Posts Joined 13 Mar 2015 Posted: 410 messages Followed by: 7 members Upvotes: 120 GMAT Score: 770 Apoorva@5 wrote: According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12-ounce can of the concentrate are required to prepare 200 6-ounces serving of orange juice? a)25 b)34 c)50 d)67 e)100 Try to bring everything in one unit of measurement. 4 cans of orange juice = 1 can of concentrate + 3 cans of water. Hence 1 can of juice contains 1 part concentrate and 3 parts water. Required: How many 12 ounce cans of the concentrate are required to prepare 200 6 ounce servings of orange juice? We would calculate everything in the form of 12 ounce cans. 200 6 ounce juice = 100 12 ounce juice. For 100 12 ounce juice, 23 need (1/4)*100 cans of concentrate and (3/4)*100 cans of water. Each measuring 12 ounce Hence 12 ounce cans of concentrate needed = (1/4)*100 = 25 cans Correct Option: A ### GMAT/MBA Expert GMAT Instructor Joined 12 Sep 2012 Posted: 2636 messages Followed by: 114 members Upvotes: 625 Target GMAT Score: V51 GMAT Score: 780 Concentrate / Total = 1 / (1 + 3) = 1/4 of the total We've got 200 * 6 = 1200 ounces. (1/4) of that is concentrate, so we've got (1/4) * 1200, or 300 ounces of concentrate. At 12 ounces per can, that gives us 300 / 12 => 25 cans. 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. 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