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

It is currently 22 Apr 2019, 15:21

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

Rose fills each of the rectangular regions of her rectangular flower

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54440
Rose fills each of the rectangular regions of her rectangular flower  [#permalink]

Show Tags

New post 20 Mar 2019, 02:18
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

85% (03:00) correct 15% (03:44) wrong based on 27 sessions

HideShow timer Statistics

Image
Rose fills each of the rectangular regions of her rectangular flower bed with a different type of flower. The lengths, in feet, of the rectangular regions in her flower bed are as shown in the figure. She plants one flower per square foot in each region. Asters cost $1 each, begonias $1.50 each, cannas $2 each, dahlias $2.50 each, and Easter lilies $3 each. What is the least possible cost, in dollars, for her garden?

(A) 108
(B) 115
(C) 132
(D) 144
(E) 156


Attachment:
53688e514d1c6f1f99b771578717677d9fec99b3.png
53688e514d1c6f1f99b771578717677d9fec99b3.png [ 3.96 KiB | Viewed 335 times ]

_________________
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3386
Location: India
GPA: 3.12
Rose fills each of the rectangular regions of her rectangular flower  [#permalink]

Show Tags

New post 20 Mar 2019, 04:01
Attachment:
Areas.png
Areas.png [ 10.29 KiB | Viewed 246 times ]


In order to make the least money, the area having maximum area must have the cheapest
flower. Since we are given the cost of the respective flowers(Asters cost $1 each, begonias
$1.50 each, cannas $2 each, dahlias $2.50 each, & Easter lilies $3 each)

The largest area plot of 21 sq foot contains Asters, the second largest area plot of 20 sq food
contains begonnias, the third largest area of 15 sq foot contains cannas, the plot of 6 sq foot
contains dahlias, and the square part of 4 sq foot must contain Easter liles.

Therefore, the least cost for her garden is 21*1 + 20*1.5 + 15*2 + 6*2.5 + 4*3 = 108(Option A) square foot.
_________________
You've got what it takes, but it will take everything you've got
CEO
CEO
User avatar
P
Joined: 18 Aug 2017
Posts: 3027
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: Rose fills each of the rectangular regions of her rectangular flower  [#permalink]

Show Tags

New post 20 Mar 2019, 06:34
Bunuel wrote:
Image
Rose fills each of the rectangular regions of her rectangular flower bed with a different type of flower. The lengths, in feet, of the rectangular regions in her flower bed are as shown in the figure. She plants one flower per square foot in each region. Asters cost $1 each, begonias $1.50 each, cannas $2 each, dahlias $2.50 each, and Easter lilies $3 each. What is the least possible cost, in dollars, for her garden?

(A) 108
(B) 115
(C) 132
(D) 144
(E) 156


Attachment:
53688e514d1c6f1f99b771578717677d9fec99b3.png


determine areas of all the given rectangular places
we get 21,20,15,6,4
multiply max area with lowest price flower
21*1+20*1.5+15*2+2.5*6+3*4 = 21+30+30+15+12 ;108
IMO A
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 5807
Location: United States (CA)
Re: Rose fills each of the rectangular regions of her rectangular flower  [#permalink]

Show Tags

New post 22 Mar 2019, 09:13
Bunuel wrote:
Image
Rose fills each of the rectangular regions of her rectangular flower bed with a different type of flower. The lengths, in feet, of the rectangular regions in her flower bed are as shown in the figure. She plants one flower per square foot in each region. Asters cost $1 each, begonias $1.50 each, cannas $2 each, dahlias $2.50 each, and Easter lilies $3 each. What is the least possible cost, in dollars, for her garden?

(A) 108
(B) 115
(C) 132
(D) 144
(E) 156


Attachment:
53688e514d1c6f1f99b771578717677d9fec99b3.png


Let’s determine the area of each region:

4 x 5 = 20

1 x 6 = 6

7 x 3 = 21

3 x 5 = 15

2 x 2 = 4 (This is the small region in the interior of the garden.)

So the least expensive way to plant the garden is to plant the cheapest flowers in the largest region, the next-cheapest flowers in the second largest region, and so forth. Thus, we have:

21 x 1 = $21

20 x 1.5 = $30

15 x 2 = $30

6 x 2.5 = $15

4 x 3 = $12

Thus, the least possible cost is 21 + 30 + 30 + 15 + 12 = $108.

Answer: A
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

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

GMAT Club Bot
Re: Rose fills each of the rectangular regions of her rectangular flower   [#permalink] 22 Mar 2019, 09:13
Display posts from previous: Sort by

Rose fills each of the rectangular regions of her rectangular flower

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.