PS: Maps and books : PS Archive
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# PS: Maps and books

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Senior Manager
Joined: 23 May 2005
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Location: Sing/ HK
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24 Oct 2006, 07:15
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Wanted to see how guys would solve this cause it takes me over 2 mins to solve and need to know if there's a quicker way...

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?
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Director
Joined: 09 Oct 2005
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Re: PS: Maps and books [#permalink]

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24 Oct 2006, 08:43
Hermione wrote:
Wanted to see how guys would solve this cause it takes me over 2 mins to solve and need to know if there's a quicker way...

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?

maps=m
books=b
12m+10b=38
20m+15b=60
or
6m+5b=19
4m+3b=12-->m=(12-3b)/4
plugging into the first eq
{6*(12-3b)/4}+5b=19
(36-9b)/2 +5b=19
b=2
and m=3/2
answer is 0.5$_________________ IE IMBA 2010 Senior Manager Joined: 01 Oct 2006 Posts: 497 Followers: 1 Kudos [?]: 32 [0], given: 0 ### Show Tags 24 Oct 2006, 10:21 12x +10y=38,20x+15y=60 Solving simultaneously we get x=1.5 y=2 Answer is 0.5 Senior Manager Joined: 13 Sep 2006 Posts: 281 Location: New York Followers: 1 Kudos [?]: 18 [0], given: 0 ### Show Tags 24 Oct 2006, 10:39 12m+10b=38 20m+15b=60 ....I don't think there is a quicker way. _________________ "Never let the fear of striking out get in your wayâ€ Director Joined: 23 Jun 2005 Posts: 847 GMAT 1: 740 Q48 V42 Followers: 5 Kudos [?]: 70 [0], given: 1 Re: PS: Maps and books [#permalink] ### Show Tags 24 Oct 2006, 20:35 Hermione wrote: Wanted to see how guys would solve this cause it takes me over 2 mins to solve and need to know if there's a quicker way... 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?

I don't know if this helps or just confuses things more. But here goes:

12M+10B = 38. ----------> (1)
20M + 15B = 60.---------> (2)

Subtract (1) from (2) to get, 8M + 5B = 22. -------> (3)
Solve 1 and 3, which has simpler numbers
Re: PS: Maps and books   [#permalink] 24 Oct 2006, 20:35
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