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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 ## A snack mix that is 20% raisins is blended with a second mix tagged by: swerve ##### This topic has 2 expert replies and 1 member reply ### Top Member ## A snack mix that is 20% raisins is blended with a second mix ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult A snack mix that is 20% raisins is blended with a second mix that is 30% raisins. The initial blend is 5 pounds of the first mix and 10 pounds of the second. To make the final blend 22% raisins, how many additional pounds of the first mix must be added to the initial blend? A. 25 B. 30 C. 35 D. 40 E. 50 The OA is C. Source: EMPOWERgmat ### Top Member Legendary Member Joined 02 Mar 2018 Posted: 970 messages Followed by: 2 members Let x =Additional pounds of first mix to be added (20% * (5 + x)) + (30% * 10 ) = 22% * (15 + x ) $$\frac{20}{100}\cdot\left(5\ +\ x\right)+\ \frac{30}{100}\cdot\ 10=\frac{22}{100}\cdot\left(15\ +\ x\right)$$ 0.2 * (5 + x) + 0.3 * 10 = 0.22 * (15 + x) 1 + 0.2x = 3.3 + 0.22x 0.2x - 0.22x = 3.3 - 4 $$\frac{\left(-0.02x\right)}{-0.02}=\ \frac{\left(-0.7\right)}{-0.02}$$ x = 35 Option C is CORRECT. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2424 messages Followed by: 18 members Upvotes: 43 swerve wrote: A snack mix that is 20% raisins is blended with a second mix that is 30% raisins. The initial blend is 5 pounds of the first mix and 10 pounds of the second. To make the final blend 22% raisins, how many additional pounds of the first mix must be added to the initial blend? A. 25 B. 30 C. 35 D. 40 E. 50 The first mix has 5 x 0.2 = 1 lb of raisins and the second mix has 10 x 0.3 = 3 lb of raisins. If we let x = the additional number of pounds of the first mix that must be added to the initial blend to produce a blend of 22% raisins, then we have: (1 + 3 + 0.2x)/(5 + 10 + x) = 22/100 100(4 + 0.2x) = 22(15 + x) 400 + 20x = 330 + 22x 70 = 2x 35 = x Answer: C _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 swerve wrote: A snack mix that is 20% raisins is blended with a second mix that is 30% raisins. The initial blend is 5 pounds of the first mix and 10 pounds of the second. To make the final blend 22% raisins, how many additional pounds of the first mix must be added to the initial blend? A. 25 B. 30 C. 35 D. 40 E. 50 Source: EMPOWERgmat $$? = x$$ Excellent opportunity for the Alligation (and Bruce Lee): $$\frac{{10}}{{10 + \left( {5 + x} \right)}} = \frac{{22 - 20}}{{30 - 20}} = \frac{{2 \cdot \boxed5}}{{10 \cdot \boxed5}}\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,15 + x = 50\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,\,? = x = 35\,\,\,\,\,\,\,\,\left[ {{\text{pounds}}} \right]\,\,\,\,$$ This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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