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Abraham, Bonnie, Cathy and Darlene distribute the \$10,000

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GMAT Instructor
Joined: 04 Jul 2006
Posts: 1259

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Abraham, Bonnie, Cathy and Darlene distribute the \$10,000 [#permalink]

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07 Jul 2006, 03:53
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Abraham, Bonnie, Cathy and Darlene distribute the \$10,000 profit from business deal so that Abraham gets half as much as Bonnie and v times as much as Cathy and Darlene combined. If Cathy and DarleneÂ´s share is divided into seven equal parts, what percent of \$200 will Darlene receive if she is given n of these parts?

(A) 5n/(21v+7) (B) 15n/(21v+3) (C) 150n/(21v+3) (D) 5000n/(21v+7) (E) none of these

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Joined: 13 Nov 2003
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Location: BULGARIA

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07 Jul 2006, 04:44
Halllo kevincan , I wil give it a try
A=b/2
A=v*(c+d)
v*(c+d)+2*v*(c+d)+(c+d)=10,000\$
(c+d)*(3v+1)=10,000\$
then C+D=10,000/(3v+1) divide by 7, c+d=10,000/(21v+7)
Darlene's share is 10,000*n/(21V+7) divide by 200\$ and multiply by 100 to convert into percent seems like D

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07 Jul 2006, 04:44
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