• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
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: 608 messages Followed by: 1 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: 1649 messages Followed by: 14 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 ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 715 messages Followed by: 26 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 :: https://GMATH.net (Math for the GMAT) Testimonials :: https://GMATH.net/testimonials.html Course release PROMO : finish our test drive till 31/Oct with (at least) 60 correct answers out of 92 (12-questions Mock included) to gain a 60% discount! • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Trial & Practice Exam 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 • FREE GMAT Exam Know how you'd score today for$0

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to \$200

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

### Top First Responders*

1 fskilnik@GMATH 72 first replies
2 Brent@GMATPrepNow 46 first replies
3 Jay@ManhattanReview 44 first replies
4 GMATGuruNY 41 first replies
5 Rich.C@EMPOWERgma... 36 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 fskilnik@GMATH

GMATH Teacher

192 posts
2 Scott@TargetTestPrep

Target Test Prep

183 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

120 posts
4 GMATGuruNY

The Princeton Review Teacher

89 posts
5 Max@Math Revolution

Math Revolution

87 posts
See More Top Beat The GMAT Experts