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

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V
Joined: 02 Sep 2009
Posts: 50000
A certain store sells all maps at one price and all books at another  [#permalink]

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New post 11 Nov 2015, 00:10
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

87% (01:51) correct 13% (01:58) wrong based on 100 sessions

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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

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Joined: 20 Feb 2015
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Concentration: Strategy, General Management
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Re: A certain store sells all maps at one price and all books at another  [#permalink]

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New post 11 Nov 2015, 01:24
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
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Re: A certain store sells all maps at one price and all books at another  [#permalink]

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New post 27 Dec 2016, 09:40
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
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Re: A certain store sells all maps at one price and all books at another  [#permalink]

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New post 04 Oct 2018, 11:44
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Re: A certain store sells all maps at one price and all books at another &nbs [#permalink] 04 Oct 2018, 11:44
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