GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 28 Mar 2020, 04:54

Close

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
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.

Close

Request Expert Reply

Confirm Cancel

Reena and Nitu had a pre-determined number of baskets, at a ratio of 5

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 62285
Reena and Nitu had a pre-determined number of baskets, at a ratio of 5  [#permalink]

Show Tags

New post 27 May 2016, 08:02
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

72% (01:39) correct 28% (02:13) wrong based on 63 sessions

HideShow timer Statistics

Manager
Manager
User avatar
Joined: 18 Jan 2010
Posts: 237
Re: Reena and Nitu had a pre-determined number of baskets, at a ratio of 5  [#permalink]

Show Tags

New post 27 May 2016, 09:44
1
Bunuel wrote:
Reena and Nitu had a pre-determined number of baskets, at a ratio of 5:3. Reena offered 10 of her baskets to Nitu so that the ratio of number of baskets became 7:5. How many more baskets does Reenu now have than Nitu?

(A) 30
(B) 40
(C) 60
(D) 80
(E) 90


Let Reena had 5x baskets and Nitu had 3x baskets. Reena gave 10 baskets to Nitu, so, The new ratio will become

\(\frac{5x-10}{3x+10}\) = \(\frac{7}{5}\)

5 *(5x-10) = 7 * (3x+10)

25 x -50 = 21 x + 70

4 x = 120

x = 30

Reena now has: 5x-10 = 140 baskets
Neetu now has: 3x+10 = 100 baskets

Reena has 40 more baskets than Neetu.

Answer: Option B
Verbal Forum Moderator
User avatar
V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2456
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge CAT Tests
Re: Reena and Nitu had a pre-determined number of baskets, at a ratio of 5  [#permalink]

Show Tags

New post 27 May 2016, 09:45
Let number of baskets that Reena has = R
and number of baskets that Nitu has = N

R/N = 5/3
=>3R -5N = 0 --- equation 1

(R-10)/(N+10) = 7/5
=>5R - 50 = 7N+70
=>5R-7N=120 --- equation 2
Multiply equation 1 by 5 and equation 2 by 3 , we get
15R - 25N = 0
and 15R - 21N = 360
Now , 4N = 360
=> N = 90
R= 150
Number of baskets Reenu now has more than Nitu = (150-10) - (90+10)
=140-100
=40
Answer B
_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
GMAT Club Bot
Re: Reena and Nitu had a pre-determined number of baskets, at a ratio of 5   [#permalink] 27 May 2016, 09:45
Display posts from previous: Sort by

Reena and Nitu had a pre-determined number of baskets, at a ratio of 5

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





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