GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 22 Oct 2019, 01:45 GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  Solution A is made up of alcohol and water mixed in the ratio of 21:4

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Director  V
Joined: 18 Feb 2019
Posts: 582
Location: India
GMAT 1: 460 Q42 V13 GPA: 3.6
Solution A is made up of alcohol and water mixed in the ratio of 21:4  [#permalink]

Show Tags

7 00:00

Difficulty:   75% (hard)

Question Stats: 60% (02:39) correct 40% (02:43) wrong based on 55 sessions

HideShow timer Statistics

Solution A is made up of alcohol and water mixed in the ratio of 21:4 by volume; Solution B is made up of alcohol and water mixed in the ratio of 2:3 by volume. If Solution A and Solution B are mixed in the ratio of 5:6 by volume, what percent of the resultant mixture is alcohol?

A. 32.5%
B. 40%
C. 60%
D. 65%
E. Cannot be determined
VP  P
Joined: 07 Dec 2014
Posts: 1224
Solution A is made up of alcohol and water mixed in the ratio of 21:4  [#permalink]

Show Tags

3
kiran120680 wrote:
Solution A is made up of alcohol and water mixed in the ratio of 21:4 by volume; Solution B is made up of alcohol and water mixed in the ratio of 2:3 by volume. If Solution A and Solution B are mixed in the ratio of 5:6 by volume, what percent of the resultant mixture is alcohol?

A. 32.5%
B. 40%
C. 60%
D. 65%
E. Cannot be determined

units alcohol combined=5(21/25)+6(2/5)=33/5
units water combined=5(4/25)+6(3/5)=22/5
total A+B volume combined=33/5+22/5=55/5
resultant percent alcohol=(33/5)/(55/5)=.6=60%
C
Intern  B
Joined: 03 Nov 2018
Posts: 32
Re: Solution A is made up of alcohol and water mixed in the ratio of 21:4  [#permalink]

Show Tags

1
1
Solution A: 21/(21+4) alcohol
Solution B: 2/(2+3) alcohol
5/11 of A + 6/11 of B = 5/11 * 21/25 + 6/11 * 2/5 = 33/55 = 3/5 or 60% alcohol
Target Test Prep Representative D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8125
Location: United States (CA)
Re: Solution A is made up of alcohol and water mixed in the ratio of 21:4  [#permalink]

Show Tags

kiran120680 wrote:
Solution A is made up of alcohol and water mixed in the ratio of 21:4 by volume; Solution B is made up of alcohol and water mixed in the ratio of 2:3 by volume. If Solution A and Solution B are mixed in the ratio of 5:6 by volume, what percent of the resultant mixture is alcohol?

A. 32.5%
B. 40%
C. 60%
D. 65%
E. Cannot be determined

The ratio for solution A is alcohol : water = 21x : 4x. Therefore, the volume of solution A is 25x.

The ratio for solution B is alcohol : water = 2y : 3y. Therefore, the volume of solution B is 5y.

When the two solutions are mixed in a ratio of 5 to 6 by volume, we can let x = 1 and y = 6 (notice that the volume of solution A is 25 and that of solution B is 30 and 25:30 = 5:6).

We see that the volume of the mixture is 25 + 30 = 55, of which 21(1) + 2(6) = 33 is alcohol. Therefore, alcohol is 33/55 = 3/5 = 60% of the mixture.

_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: Solution A is made up of alcohol and water mixed in the ratio of 21:4   [#permalink] 31 Mar 2019, 11:52
Display posts from previous: Sort by

Solution A is made up of alcohol and water mixed in the ratio of 21:4

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne  