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

It is currently 23 Feb 2020, 07:20

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

A certain store sells all maps at one price and all books at another

  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: 61403
A certain store sells all maps at one price and all books at another  [#permalink]

Show Tags

New post 10 Nov 2015, 23:10
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (02:28) correct 14% (03:09) wrong based on 134 sessions

HideShow timer Statistics

A certain store sells all maps at one price and all books at another price. On Monday the store sold 12 maps and 10 books for a total of $38.00, and on Tuesday the store sold 20 maps and 15 books for a total of $60.00. At this store, how much less does a map sell for than a book?

(A) $0.25
(B) $0.50
(C) $0.75
(D) $1.00
(E) $l.25

_________________
Director
Director
User avatar
G
Joined: 20 Feb 2015
Posts: 724
Concentration: Strategy, General Management
Re: A certain store sells all maps at one price and all books at another  [#permalink]

Show Tags

New post 11 Nov 2015, 00:24
1
12x+10y=38
20x+15y=60

multiply eq 1 by 5 and eq 2 by 3

60x+50y=38*5
60x+45y=60*3

subtracting 1 from 2

5y=190-180
y=2

therefore
x=18/12=1.5

difference in price =0.5
Retired Moderator
User avatar
P
Joined: 19 Mar 2014
Posts: 912
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5
GMAT ToolKit User
Re: A certain store sells all maps at one price and all books at another  [#permalink]

Show Tags

New post 27 Dec 2016, 08:40
Let M = Number Of Maps
Let B = Number of Books

Based on the Question we can create below two Equations:

12M + 10B = 38 ------------- Eq.1
20M + 15B = 60 ------------- Eq.2

Multiply Eq. 1 By 5
Multiply Eq.2 By 3

60M + 50B = 190
60M + 45B = 180

Subtracting these two equations we get:

5B = 10

B = 2

Put this value of B in any of the equation, for the solution we will take Eq. No. 1

12M + 10B = 38 ------------- Eq.1

12M + 10*2 = 38

12M = 38 - 20

12M = 18

M = 18/12 = 3/2 = 1.5

We are asked, value of B - M

B - M = ?

2 - 1.5 = 0.5

Hence, the answer is (B) $0.50

Regards,
YM
_________________
"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475
Manager
Manager
avatar
B
Joined: 14 Sep 2019
Posts: 172
Re: A certain store sells all maps at one price and all books at another  [#permalink]

Show Tags

New post 25 Jan 2020, 21:42
Let Selling price of each map be Tk. x and Selling price of each book be Tk. y

12x + 10y = 38, or 6x + 5y = 19 --------------(1)( Dividing by 2)
And 20x + 15y = 60, or 4x + 3y = 12 --------(2) (Dividing by 5)

20 x + 15y = 60(Multiplying eq.2 by 5) -------(3)
18x + 15y = 57(Multiplying eq.1 by 3)---------(4)

(3)-(4) ⫸ 2x = 3
X = 3/2
Putting X = 3/2 in equation no.(1) , 6*(3/2) + 5y = 19
9 + 5y = 19
5y = 10
Y = 2
The price of A map is less than that of a book = 2 – 3/2 = ½ = 0.5(B)
GMAT Club Bot
Re: A certain store sells all maps at one price and all books at another   [#permalink] 25 Jan 2020, 21:42
Display posts from previous: Sort by

A certain store sells all maps at one price and all books at another

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





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