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 Your Progress

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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Papayaya, a popular soft drink, contains only four ingredien [#permalink]

Show Tags

12 Jul 2012, 08:55

1

This post received KUDOS

5

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

70% (02:00) correct
30% (02:13) wrong based on 277 sessions

HideShow timer Statictics

Papayaya, a popular soft drink, contains only four ingredients. Soda water comprise 4/7 of Papayaya and natural lemon juice makes 1/3 of Papayaya. The amounts of sugar and papaya puree in Papayaya are equal. Due to a malfunction, the mixing machine mixes double the regular amount of lemon juice and three times the regular amount of papaya puree. If no other changes were made to the relative quantities of the ingredients, what is the fractional portion of soda water in the drink that comes out of the malfunctioning machine?

A. 7/30 B. 7/21 C. 2/5 D. 12/29 E. 4/7

How to attack these problems other than plugging-in numbers?

Re: Papayaya, a popular soft drink, contains only four ingredien [#permalink]

Show Tags

12 Jul 2012, 11:31

4

This post received KUDOS

Find the ratios of the mixed quantities first by standardizing the denominator. There are 4 ingredients with Soda water = 4/7 and natural lemon juice = 1/3 of Papayaya. The common denominator will be 7 * 3 = 21. Thus, quantities will be:

Soda water = 12/21 Natural lemon juice = 7/21

The quantities of sugar and papaya puree are equal. Total units are 21 of which 12 + 7 = 19 are used up by above two. Remaining is 2 which is equally divided between sugar and papaya puree:

Sugar = 1/21 Papaya puree = 1/21

Thus ratio of soda:lemon:sugar:puree = 12:7:1:1

Now, lemon is doubled, puree is three times and remaining are the same. Resultant ratio is = 12:14:1:3

Ratio of soda water in the resultant mixture = 12/(12+14+1+3) = 12/30 = 2/5 _________________

Re: Papayaya, a popular soft drink, contains only four ingredien [#permalink]

Show Tags

12 Jul 2012, 13:01

Expert's post

2

This post was BOOKMARKED

superpus07 wrote:

Papayaya, a popular soft drink, contains only four ingredients. Soda water comprise 4/7 of Papayaya and natural lemon juice makes 1/3 of Papayaya. The amounts of sugar and papaya puree in Papayaya are equal. Due to a malfunction, the mixing machine mixes double the regular amount of lemon juice and three times the regular amount of papaya puree. If no other changes were made to the relative quantities of the ingredients, what is the fractional portion of soda water in the drink that comes out of the malfunctioning machine?

A. 7/30 B. 7/21 C. 2/5 D. 12/29 E. 4/7

How to attack these problems other than plugging-in numbers?

Given that Papayaya contains: \(\frac{4}{7}=\frac{12}{21}\) of soda water;

\(\frac{1}{3}=\frac{7}{21}\) of lemon juice;

\(\frac{1}{21}\) of sugar: \(\frac{1-(\frac{12}{21}+\frac{7}{21})}{2}\);

\(\frac{1}{21}\) of papaya puree: \(\frac{1-(\frac{12}{21}+\frac{7}{21})}{2}\).

So, out of total of 21 units we need 12 units of soda water, 7 units of lemon juice, 1 unit of sugar and 1 unit of papaya puree.

Due to a malfunction, the mixing machine used 7*2=14 units of lemon juice (instead of 7) and 1*3=3 units of papaya puree (instead of 1).

Hence, the fraction of soda water in the final mixture is \(\frac{12}{12+14+3+1}=\frac{12}{30}=\frac{2}{5}\).

Re: Papayaya, a popular soft drink, contains only four ingredien [#permalink]

Show Tags

26 Jul 2012, 21:12

[quote="Edvento"]Find the ratios of the mixed quantities first by standardizing the denominator. There are 4 ingredients with Soda water = 4/7 and natural lemon juice = 1/3 of Papayaya. The common denominator will be 7 * 3 = 21. Thus, quantities will be:

Soda water = 12/21 Natural lemon juice = 7/21

The quantities of sugar and papaya puree are equal. Total units are 21 of which 12 + 7 = 19 are used up by above two. Remaining is 2 which is equally divided between sugar and papaya puree:

Sugar = 1/21 Papaya puree = 1/21

Thus ratio of soda:lemon:sugar:puree = 12:7:1:1

Now, lemon is doubled, puree is three times and remaining are the same. Resultant ratio is = 12:14:1:3

Hey, your method looks very simple.Does taking the common denominator work well always. _________________

I've failed over and over and over again in my life and that is why I succeed--Michael Jordan Kudos drives a person to better himself every single time. So Pls give it generously Wont give up till i hit a 700+

Re: Papayaya, a popular soft drink, contains only four ingredien [#permalink]

Show Tags

19 Apr 2014, 00:18

Soda: 4/7

LJ: 1/3

S: 1/21

PP: 1/21

Due to malfunctioning:

Soda remains as it is

LJ: 2/3

PP: 3/21

Hence the proportion of Soda in solution

{4/7}/ {4/7 + 2/3+ 1/21 + 3/21}

2/5 _________________

Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________

Re: Papayaya, a popular soft drink, contains only four ingredien [#permalink]

Show Tags

20 Sep 2015, 18:43

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

So, my final tally is in. I applied to three b schools in total this season: INSEAD – admitted MIT Sloan – admitted Wharton – waitlisted and dinged No...

A few weeks ago, the following tweet popped up in my timeline. thanks @Uber_Mumbai for showing me what #daylightrobbery means!I know I have a choice not to use it...

“This elective will be most relevant to learn innovative methodologies in digital marketing in a place which is the origin for major marketing companies.” This was the crux...