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PS: Maps and books

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Senior Manager
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PS: Maps and books [#permalink]

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New post 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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Re: PS: Maps and books [#permalink]

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New post 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$
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New post 24 Oct 2006, 10:21
12x +10y=38,20x+15y=60
Solving simultaneously we get x=1.5 y=2

Answer is 0.5
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New post 24 Oct 2006, 10:39
12m+10b=38
20m+15b=60

....I don't think there is a quicker way.
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Re: PS: Maps and books [#permalink]

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New post 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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