LBS is Calling R1 Admits - Join Chat Room to Catch the Latest Action

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.

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:

Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)

Bouquets are to be made using white tulips and red tulips, and the rat
[#permalink]

Show Tags

16 Jun 2017, 03:46

3

Top Contributor

16

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

83% (01:10) correct 17% (01:37) wrong based on 1073 sessions

HideShow timer Statistics

Bouquets are to be made using white tulips and red tulips, and the ratio of the number of white tulips to the number of red tulips is to be the same in each bouquet. If there are 15 white tulips and 85 red tulips available for the bouquets, what is the greatest number of bouquets that can be made using all the tulips available?

Re: Bouquets are to be made using white tulips and red tulips, and the rat
[#permalink]

Show Tags

16 Jun 2017, 03:53

2

5

AbdurRakib wrote:

Bouquets are to be made using white tulips and red tulips, and the ratio of the number of white tulips to the number of red tulips is to be the same in each bouquet. If there are 15 white tulips and 85 red tulips available for the bouquets, what is the greatest number of bouquets that can be made using all the tulips available?

A. 3 B. 5 C. 8 D. 10 E. 13

Since we should use all the tulips available, then the number of bouquets must be a factor of both 15 and 85. For example, we cannot have 2 bouquets since we cannot divide 15 white tulips into 2 bouquets without one tulip left over.

Re: Bouquets are to be made using white tulips and red tulips, and the rat
[#permalink]

Show Tags

16 Jun 2017, 03:54

Bunuel wrote:

AbdurRakib wrote:

Bouquets are to be made using white tulips and red tulips, and the ratio of the number of white tulips to the number of red tulips is to be the same in each bouquet. If there are 15 white tulips and 85 red tulips available for the bouquets, what is the greatest number of bouquets that can be made using all the tulips available?

A. 3 B. 5 C. 8 D. 10 E. 13

Since we should use all the tulips available, then the number of bouquets must be a factor of both 15 and 85. For example, we cannot have 2 bouquets since we cannot divide 15 white tulips into 2 bouquets without one tulip left over.

Re: Bouquets are to be made using white tulips and red tulips, and the rat
[#permalink]

Show Tags

02 Jul 2017, 05:40

4

Top Contributor

AbdurRakib wrote:

Bouquets are to be made using white tulips and red tulips, and the ratio of the number of white tulips to the number of red tulips is to be the same in each bouquet. If there are 15 white tulips and 85 red tulips available for the bouquets, what is the greatest number of bouquets that can be made using all the tulips available?

A. 3 B. 5 C. 8 D. 10 E. 13

Let's use some prime factorization...

We have 15 white tulips and 85 red tulips 15 = (3)(5) 85 = (5)(17)

So, for the white tulips, we can create 5 groups of 3 flowers So, for the red tulips, we can create 5 groups of 17 flowers

This means we can create 5 BOUQUETS in which each bouquet has 3 red tulips and 17 white tulips In other words, the ratio of red tulips to white tulips is the same for each bouquet (3 : 17).

Re: Bouquets are to be made using white tulips and red tulips, and the rat
[#permalink]

Show Tags

03 Jul 2017, 22:09

AbdurRakib wrote:

Bouquets are to be made using white tulips and red tulips, and the ratio of the number of white tulips to the number of red tulips is to be the same in each bouquet. If there are 15 white tulips and 85 red tulips available for the bouquets, what is the greatest number of bouquets that can be made using all the tulips available?

A. 3 B. 5 C. 8 D. 10 E. 13

w=3*5 R=17*5

As 3 and 17 are prime numbers .In addition,we have to maintain same ratio and use all the tulips available at the same time . greatest number of bouquets that can be made using all the tulips=5

Re: Bouquets are to be made using white tulips and red tulips, and the rat
[#permalink]

Show Tags

07 Aug 2017, 09:05

AbdurRakib wrote:

Bouquets are to be made using white tulips and red tulips, and the ratio of the number of white tulips to the number of red tulips is to be the same in each bouquet. If there are 15 white tulips and 85 red tulips available for the bouquets, what is the greatest number of bouquets that can be made using all the tulips available?

A. 3 B. 5 C. 8 D. 10 E. 13

W Tulips = 15 = 5*3 R Tulips = 85 = 5*17 Both are multiples of 5 => W Tulips : Red Tulips = 3 : 17 per bouquet.

So we can have 5 bouquets from the available tulips.
_________________

Re: Bouquets are to be made using white tulips and red tulips, and the rat
[#permalink]

Show Tags

15 Nov 2017, 15:41

AbdurRakib wrote:

Bouquets are to be made using white tulips and red tulips, and the ratio of the number of white tulips to the number of red tulips is to be the same in each bouquet. If there are 15 white tulips and 85 red tulips available for the bouquets, what is the greatest number of bouquets that can be made using all the tulips available?

A. 3 B. 5 C. 8 D. 10 E. 13

Since all the tulips should be used and since the white to red ratio must be the same in all the bouquets, the white to red ratio in each bouquet must be 15:85 or 3:17. Thus, for some integer x, the number of white tulips in each bouquet is 3x and the number of red tulips in each bouquet is 17x. So, each bouquet contains 3x + 17x = 20x tulips. To maximize the number of bouquets, we should take x to be as small as possible. In this scenario, since the number of tulips cannot be zero or a negative number, the smallest possible integer value of x is 1. Then, each bouquet contains 20(1) = 20 tulips and there are at most 100 / 20 = 5 bouquets.

Answer: B
_________________

Scott Woodbury-Stewart Founder and CEO

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions

Re: Bouquets are to be made using white tulips and red tulips, and the rat
[#permalink]

Show Tags

16 Sep 2018, 14:12

Solution:

Step 1: 15 white tulips and 85 red tulips are available for bouquets. The bouquets must be made from these tulips using the same ratio of white tulips and red tulips from the 15 white tulips and 85 red tulips provided.

Step 2: Since all the tulips available must be used without any left over, then the number of bouquets possible must be a factor of the available tulips. Hence, the highest possible common factor of 15 white tulips and 85 red tulips is obtained as follows:

15 = 3 x 5 85 = 5 x 17

5 is common to both 15 and 85. Therefore, the greatest number of bouquets that can be made is 5 and the answer is