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# ­5 friends - Ajax, Betty, Cody, Donna and Elsie - decide to contribute

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Re: ­5 friends - Ajax, Betty, Cody, Donna and Elsie - decide to contribute [#permalink]
As Ajax contributes 1/6th as much as all the others combined,Thus
A=(B+C+D+E)/6
.'.6A= B+C+D+E
Given that,
Total Combined payment is \$42000.
That's means,
A+B+C+D+E=42000
=>A+6A=42000 ['.'6A= B+C+D+E]
=>7A=42000
.'.A=6000
.
B=(A+C+D+E)/5
=>5B=A+C+D+E
A+B+C+D+E=42000
=>B+5B=42000
=>6B=42000
.'.B=7000
.
C=(A+B+D+E)/4
4C=A+B+D+E
A+B+C+D+E=42000
=>C+4C=42000
=>5C=42000
.'.C=8400
.
D=(A+B+C+E)/3
=>3D=A+B+C+E
A+B+C+D+E=42000
D+3D=42000
=>4D=42000
.'.D=10500
.
A+B+C+D=(6000+7000+8400+10500)=31900
.'.E=(42000-31900)=10100
.