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General GMAT Forum Moderator
Joined: 19 Jan 2024
Posts: 305
Given Kudos: 137
5 friends - Ajax, Betty, Cody, Donna and Elsie - decide to contribute
[#permalink]
29 Feb 2024, 07:19
29 Feb 2024, 07:19
1
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6
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A
B
C
D
E
Difficulty:
55%
(hard)
Question Stats:
75% (03:40) correct
25%
(03:12)
wrong
based on 53
sessions
5 friends - Ajax, Betty, Cody, Donna and Elsie - decide to contribute to a charity. Ajax contributes 1/6th as much as all the others combined, Betty contributes 1/5th as much as all the others combined, Cody conttributes 1/4th as much as all the others combined and Donna contributes 1/3rd as much as all the others combined. If the total contribution of the 5 is $42,000 then how much did Elsie pay?
A $8100
B $9100
C $10000
D $10100
E $11000
A $8100
B $9100
C $10000
D $10100
E $11000
Re: 5 friends - Ajax, Betty, Cody, Donna and Elsie - decide to contribute
[#permalink]
29 Feb 2024, 08:04
29 Feb 2024, 08:04
Translating:
A=(B+C+D+E)/6 so 6A=B+C+D+E so:
A+B+C+D+E=7A=42000 and
A=6000
The rest are determined the same way:
A=6000
B=7000
C=8400
D=10500
_____
31900
So E=42000-31900=10100
Posted from my mobile device
A=(B+C+D+E)/6 so 6A=B+C+D+E so:
A+B+C+D+E=7A=42000 and
A=6000
The rest are determined the same way:
A=6000
B=7000
C=8400
D=10500
_____
31900
So E=42000-31900=10100
Posted from my mobile device
General GMAT Forum Moderator
Joined: 19 Jan 2024
Posts: 305
Given Kudos: 137
Re: 5 friends - Ajax, Betty, Cody, Donna and Elsie - decide to contribute
[#permalink]
29 Feb 2024, 22:24
29 Feb 2024, 22:24
Regor60 wrote:
Translating:
A=(B+C+D+E)/6 so 6A=B+C+D+E so:
A+B+C+D+E=7A=42000 and
A=6000
The rest are determined the same way:
A=6000
B=7000
C=8400
D=10500
_____
31900
So E=42000-31900=10100
Posted from my mobile device
A=(B+C+D+E)/6 so 6A=B+C+D+E so:
A+B+C+D+E=7A=42000 and
A=6000
The rest are determined the same way:
A=6000
B=7000
C=8400
D=10500
_____
31900
So E=42000-31900=10100
Posted from my mobile device
Ok thank you. I used a similar approach, after translation I ended up adding 1 on both sides to get to the equation I did not think that I could substitute this back into the A+B+C+D+E = 42000 equation so that was a bit of a miss I guess. I had spend a few extra minutes to find my way out.
