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a box contains 20 pieces of candies including maroon

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Director
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a box contains 20 pieces of candies including maroon [#permalink] New post 21 Feb 2006, 16:15
a box contains 20 pieces of candies including maroon colored, silver colored, peach colored and red colored. If the number of peach colored is twice that of red colored, and maroon colored is 3 more than silver colored. What is the number of silver colored ones?

I) Number of Maroon colored is 1 more than that of red colored
II) Peach colred is 3 times that of Silver colred.
Manager
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 [#permalink] New post 21 Feb 2006, 18:10
It looks like D.
M+S+P+R=20
M=S+3 and P=2R
from that 2*S+3+3*R=20 stem
1) M=R+1 2*S+3+3*(M-1)=2*S+3+3*(S+3-1)=20 and can find S ( for silver) suf.

2) P=3*S => 2*R=3*S => can find S => suf
Manager
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 [#permalink] New post 21 Feb 2006, 19:05
it should be D ... same logic as natalya ....
GMAT Club Legend
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 [#permalink] New post 21 Feb 2006, 19:20
Total = 20
Maroon = m
Silver = s
Peach = p
red = r

p = 2r --(1)
m = s+3 --(2)

m+s+p+r = 20
s+3+2r+r = 20
s+3+3r = 20 ---(3)

s = ??

1) m = 1+r
r = m-1 = s+3-1 = s+2. We can substitute this to (3) to solve for s. Sufficient.

2) p = s+3
p/2 = r = (s+3)/2. We can substitute this to (3) and solve for s. Sufficient.

Ans D
Senior Manager
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 [#permalink] New post 21 Feb 2006, 20:59
Bingo... from stem 3x+4y = 20

1) -x+y = -6 , using 2 euqtions , we can solve - suffi

2) 2x-y=3 , using 2 equz , we can solve - suffi

D
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Director
Director
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Joined: 17 Oct 2005
Posts: 940
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Kudos [?]: 35 [0], given: 0

 [#permalink] New post 23 Feb 2006, 02:51
you guys proved that the oa is D thanks!
  [#permalink] 23 Feb 2006, 02:51
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a box contains 20 pieces of candies including maroon

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