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

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Of the votes cast on a certain proposal, 80 more were in [#permalink] New post 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?
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Re: PS #32 [#permalink] New post 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
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 [#permalink] New post 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
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Re: PS #32 [#permalink] New post 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,
Your method is faster. Excellent!!
Can you please explain the third step? i.e. Total votes = 80/(60% - 40%)
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 [#permalink] New post 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
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Re: PS #32 [#permalink] New post 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,
Your method is faster. Excellent!!
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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