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# GMAT paper test...looking for answer

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Intern
Joined: 30 Dec 2009
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24 Feb 2010, 11:20
00:00

Difficulty:

(N/A)

Question Stats:

67% (02:19) correct 33% (02:20) wrong based on 16 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. $.25 b.$.50
c. $.75 d.$1.00
e. $1.25 I am brain dead on how to solve this. Thanks! Senior Manager Joined: 25 Jun 2009 Posts: 306 Followers: 2 Kudos [?]: 120 [0], given: 6 Re: GMAT paper test...looking for answer [#permalink] ### Show Tags 24 Feb 2010, 11:36 l02g060 wrote: 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 $60.00. At this store, how much less does a map sell for than a book? a.$.25
b. $.50 c.$.75
d. $1.00 e.$1.25

I am brain dead on how to solve this. Thanks!

Lets assume the price of a map = x
and price of the book = y

Now 12x + 10y = 38 = > 6x +5y = 19 -- (a)
20x + 15 y = 60 -- (b)

Multiplying (a) with 3 we get
18x + 15y = 57 -- (c)

Solving these 2 equations ( b and c) we get

x = 1.5
y =2
Manager
Joined: 26 May 2005
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24 Feb 2010, 11:40
12m + 10b = 38 (m and b are price of one map and one book respectively)
20m + 15b = 60
b-m?

solving we get m = $1.5, b =$2 and b-m = 0.5

B
Senior Manager
Joined: 01 Feb 2010
Posts: 267
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24 Feb 2010, 22:07
l02g060 wrote:
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. $.25 b.$.50
c. $.75 d.$1.00
e. $1.25 I am brain dead on how to solve this. Thanks! Map at rate x books at rate y 12x+10y = 38 20x+15y = 60 solving both x=3/2 = 1.5 y=2 y-x = .5 hence B. Intern Joined: 30 Dec 2009 Posts: 10 Followers: 0 Kudos [?]: 2 [0], given: 2 Re: GMAT paper test...looking for answer [#permalink] ### Show Tags 24 Feb 2010, 22:28 chix475ntu wrote: 12m + 10b = 38 (m and b are price of one map and one book respectively) 20m + 15b = 60 b-m? solving we get m =$1.5, b = $2 and b-m = 0.5 B Do you prefer solving by addition as in prior answer or by substitution? Which works better on more diffuicult question sets? Manager Joined: 10 Feb 2010 Posts: 193 Followers: 2 Kudos [?]: 106 [0], given: 6 Re: GMAT paper test...looking for answer [#permalink] ### Show Tags 26 Feb 2010, 19:44 [quote="l02g060] Do you prefer solving by addition as in prior answer or by substitution? Which works better on more diffuicult question sets?[/quote] Sometimes it is easier to solve than substitute each value. For substitution, it will be helpful if you can eliminate some of the answers choices. Manager Joined: 26 May 2005 Posts: 208 Followers: 2 Kudos [?]: 116 [0], given: 1 Re: GMAT paper test...looking for answer [#permalink] ### Show Tags 26 Feb 2010, 20:08 l02g060 wrote: chix475ntu wrote: 12m + 10b = 38 (m and b are price of one map and one book respectively) 20m + 15b = 60 b-m? solving we get m =$1.5, b = $2 and b-m = 0.5 B Do you prefer solving by addition as in prior answer or by substitution? Which works better on more diffuicult question sets? I usually solve the problem then look at the solution. And also will try to substitute the answer in the equations(more likely for inequalities). If there are only few variables to work with, its will be much faster to solve than to substitute the answers. And for the difficult problems, you need to work on writing the given sentences into equations(once you can do that in a minute, you are good to go ) - rest would be easy to solve. Intern Joined: 06 Nov 2011 Posts: 37 Location: Germany Concentration: Entrepreneurship, General Management GMAT Date: 03-10-2012 GPA: 3 Followers: 0 Kudos [?]: 7 [0], given: 50 Re: GMAT paper test...looking for answer [#permalink] ### Show Tags 13 Nov 2011, 06:24 Got 0.5 Dollar after 2:30 min. Is that a 600points range question or more? Intern Joined: 24 Feb 2011 Posts: 30 Followers: 0 Kudos [?]: 14 [0], given: 1 Re: GMAT paper test...looking for answer [#permalink] ### Show Tags 29 Nov 2011, 18:33 I can get to the 2 equations, but i can't solve them where do you get the x=3/2 ? Manager Joined: 08 Sep 2011 Posts: 75 Concentration: Finance, Strategy Followers: 3 Kudos [?]: 2 [0], given: 5 Re: GMAT paper test...looking for answer [#permalink] ### Show Tags 08 Dec 2011, 09:57 I also got B but it took me a little over 2 mins olivite wrote: I can get to the 2 equations, but i can't solve them where do you get the x=3/2 ? your two equations are (when simplified): 1) 6m+5b=19 2) 4m+3b=12 I'll take the second one and solve for m and you get m=3-(3/4b) plug that into the first equation 6(3-(3/4b))+5b=19 --> 18-(18/4b)+5b=19 --> (-18/4b)+5b=1 ----> 1/2b=1 ---> b=2 now that we know b=2 plug that into either equation 4m+3(2)=12 ---> 4m=6---> m= 3/2 or 1.5 b-m=.5 hope that helps Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7119 Location: Pune, India Followers: 2129 Kudos [?]: 13625 [0], given: 222 Re: GMAT paper test...looking for answer [#permalink] ### Show Tags 09 Dec 2011, 02:38 l02g060 wrote: chix475ntu wrote: 12m + 10b = 38 (m and b are price of one map and one book respectively) 20m + 15b = 60 b-m? solving we get m =$1.5, b = $2 and b-m = 0.5 B Do you prefer solving by addition as in prior answer or by substitution? Which works better on more diffuicult question sets? More often than not, solving the equations simultaneously will give you the answer quickly. Solving by substitution is generally more painful with two equations in two variables. Bring down your equations to lowest form: 1) 6m+5b=19 2) 4m+3b=12 Now, one way is to multiply the first equation by 3 and the second one by 5. But we see that the calculations involved are a little painful. It can be helpful if you are a little more resourceful with your numbers. Say, I multiply the second equation by 1.5. I get: 6m + 4.5b = 18 Now solve them simultaneously: 6m+5b=19 6m + 4.5b = 18 .5b = 1 b = 2 m = 1.5 b-m = .5 _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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Manager
Joined: 25 May 2011
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11 Dec 2011, 01:04
Just solve these 2 equations:

$$6m+5b=19$$
$$4m+3b=12$$

B
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