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# Of the votes cast on a certain proposal, 80 more were in

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CEO
Joined: 21 Jan 2007
Posts: 2739
Location: New York City
Of the votes cast on a certain proposal, 80 more were in [#permalink]

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21 May 2007, 20:18
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Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. if the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast?
Manager
Joined: 02 May 2007
Posts: 152

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21 May 2007, 20:43
bmwhype2 wrote:
Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. if the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast?

Against the proposal = 40%

=> Favor of the proposal = 60%

=> Total votes = 80/(60% - 40%) = 400
Manager
Joined: 04 May 2007
Posts: 110

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21 May 2007, 20:59
agree; although i took a longer approach. i will have to digest kirakira's method for a few minutes to see if i get it.

Total Votes = For + Against
For = 80+Against
Against = 40% total vote

TV = 80 + .4TV +.4TV
.2TV=80
Total Vote = 400
Manager
Joined: 26 Aug 2006
Posts: 51

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21 May 2007, 21:19
kirakira wrote:
bmwhype2 wrote:
Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. if the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast?

Against the proposal = 40%

=> Favor of the proposal = 60%

=> Total votes = 80/(60% - 40%) = 400

KiraKira,
Can you please explain the third step? i.e. Total votes = 80/(60% - 40%)
Senior Manager
Joined: 03 May 2007
Posts: 270

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21 May 2007, 22:40
x+80 number of votes in favor
x against

0.4total=x
2x+80=total
total-0.8total=80
0.2total=80
total=400
Manager
Joined: 02 May 2007
Posts: 152

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21 May 2007, 22:56
bhaarat wrote:
kirakira wrote:
bmwhype2 wrote:
Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. if the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast?

Against the proposal = 40%

=> Favor of the proposal = 60%

=> Total votes = 80/(60% - 40%) = 400

KiraKira,
Can you please explain the third step? i.e. Total votes = 80/(60% - 40%)

Just simple logic!

The portion of 20% (60% - 40%) = 80 votes
=> The whole 100% = 80/20%

Re: PS #32   [#permalink] 21 May 2007, 22:56
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