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# Nails and screws are manufactured at a uniform weight per nail and a

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Manager
Joined: 06 Jan 2015
Posts: 58
Nails and screws are manufactured at a uniform weight per nail and a  [#permalink]

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08 Feb 2016, 08:54
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Difficulty:

35% (medium)

Question Stats:

77% (02:15) correct 23% (03:18) wrong based on 34 sessions

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Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 4 screws and 2 nails?

a. 4
b. 5/2
c. 2
d. 3/2
e. 5/4

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Joined: 02 Aug 2009
Posts: 8340
Re: Nails and screws are manufactured at a uniform weight per nail and a  [#permalink]

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08 Feb 2016, 09:02
paisaj87 wrote:
Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 4 screws and 2 nails?

a. 4
b. 5/2
c. 2
d. 3/2
e. 5/4

Hi,
let the weight of nail be n and that of screw be s..
so s+w=1/2 * (6s+1n)...
or 1n = 4s..

lets see the weight of 3 s and 3n= 3s+3*4s=15s..
and weight of 4s and 2n= 4s+2*4s=12s..
ratio= 15s/12s=15/12=5/4
E
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Re: Nails and screws are manufactured at a uniform weight per nail and a   [#permalink] 08 Feb 2016, 09:02
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