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Diane find 2 and a half cans of paint are just enough to

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Diane find 2 and a half cans of paint are just enough to [#permalink] New post 16 Feb 2013, 11:40
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Diane find 2 and a half cans of paint are just enough to paint one third of her room. How many more cans of paint will she need to finish her room and paint a second room of the same size?

A. 5
B. 7 and a half
C. 10
D. 12 and a half
E. 15
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Re: Diane find 2 and a half cans of paint are just........ [#permalink] New post 18 Feb 2013, 20:10
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antoxavier wrote:
Diane find 2 and a half cans of paint are just enough to paint one third of her room. How many more cans of paint will she need to finish her room and paint a second room of the same size?

A. 5
B. 7 and a half
C. 10
D. 12 and a half
E. 15


Notice that for 1/3 of a room, she used 2.5 cans.
For 2 full rooms (i.e. 6 times the initial work), she will need a total of 2.5 * 6 = 15 cans

So she needs 15 - 2.5 = 12.5 more cans to finish her room and paint another room of the same size.
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Re: Diane find 2 and a half cans of paint are just........ [#permalink] New post 16 Feb 2013, 21:27
She will need 5 cans to paint the rest of this room and seven and a half for the next room for a total of twleve and half cans.

D it is.
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Director
Director
User avatar
Status:
Joined: 24 Jul 2011
Posts: 569
GMAT 1: 780 Q51 V48
GRE 1: 1540 Q800 V740
Followers: 74

Kudos [?]: 321 [0], given: 11

Re: Diane find 2 and a half cans of paint are just enough to [#permalink] New post 04 Mar 2013, 20:56
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Re: Diane find 2 and a half cans of paint are just enough to [#permalink] New post 07 Dec 2014, 11:55
We can use ratios to solve this problem:
We know that 2.5 cans = 25/10 is used to paint 1/3 of a room. We need to find how much paint we'll need in order to paint the rest of the room (1-1/3=2/3) and 1 room more, hence 2/3+1=5/3

25/10 : 1/3 = x : 5/3

(25/10)*(5/3) = (1/3)*x
25/6=x/3
6*x=25*3
x=75/6
x=12.5
Re: Diane find 2 and a half cans of paint are just enough to   [#permalink] 07 Dec 2014, 11:55
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