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A certain football team played x games last season, of which

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Director
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Status: Preparing for the 4th time -:(
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A certain football team played x games last season, of which [#permalink] New post 03 Nov 2011, 13:19
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A
B
C
D
E

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  5% (low)

Question Stats:

77% (01:15) correct 23% (00:35) wrong based on 19 sessions
A certain football team played x games last season, of which the team won exactly y games. If tied games
were not possible, how many games did the team win last season?
(1) If the team had lost two more of its games last season, it would have won 20 percent of its games for
the season.
(2) If the team had won three more of its games last season, it would have lost 30 percent of its games
for the season.

As I don't have an official answer, I will go for C. This is how I did this. Can you guys please help and let me know whether I am correct or not?

Games Lost = x-y

Considering statement 1 --> x-y+2= 0.20x
Considering statement 2 --> y+3=0.3(x-y)

Two variables and two equations and we can solve for y.

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Re: DS - Percentage [#permalink] New post 03 Nov 2011, 21:02
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Your approach is correct, though the equations you are getting are incorrect.

Using statement 1: y-2 = 0.20x [i.e. equate the number of games won to 20% of the total games]
Using statement 2: x-y-3 = 0.30x [i.e. equate the number of games lost to 30% of the total games]

The answer should still be (C).

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Re: DS - Percentage [#permalink] New post 03 Nov 2011, 22:59
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Expert's post
enigma123 wrote:
A certain football team played x games last season, of which the team won exactly y games. If tied games
were not possible, how many games did the team win last season?
(1) If the team had lost two more of its games last season, it would have won 20 percent of its games for
the season.
(2) If the team had won three more of its games last season, it would have lost 30 percent of its games
for the season.

As I don't have an official answer, I will go for C. This is how I did this. Can you guys please help and let me know whether I am correct or not?

Games Lost = x-y

Considering statement 1 --> x-y+2= 0.20x
Considering statement 2 --> y+3=0.3(x-y)

Two variables and two equations and we can solve for y.


Let me add a little tip about this conclusion. Make sure that the equations you have are distinct. You can solve for y only if you have two equations. If both the equations are the same (even though they may not appear to be same), you cannot solve for y.
Check out this post for an example of this trickery: http://www.veritasprep.com/blog/2010/10 ... er-pulled/

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Re: DS - Percentage   [#permalink] 03 Nov 2011, 22:59
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