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A baseball team has won 40 games out of 60 played. It has 32 more gam

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A baseball team has won 40 games out of 60 played. It has 32 more gam  [#permalink]

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New post 27 Feb 2018, 22:51
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A baseball team has won 40 games out of 60 played. It has 32 more games to play. How many of these must the team win to make its record 75% for the season?

(A) 26

(B) 29

(C) 28

(D) 30

(E) 32

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Re: A baseball team has won 40 games out of 60 played. It has 32 more gam  [#permalink]

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New post 27 Feb 2018, 23:03
Let the no of games the team will win be W

Total no of games = ( 60+32)=92
Total no of game won = (40+W)

Record= 75%
Therefore

{(40+W)/92}*100=75
Solve for W

W= 29
Ans should be B



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A baseball team has won 40 games out of 60 played. It has 32 more gam  [#permalink]

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New post 27 Feb 2018, 23:34
Bunuel wrote:
A baseball team has won 40 games out of 60 played. It has 32 more games to play. How many of these must the team win to make its record 75% for the season?

(A) 26

(B) 29

(C) 28

(D) 30

(E) 32


The baseball team has won 40 out of the 60 games played.
Of the 32 games to be played, the team needs to win x games
out of the 32 games to be played, such that the overall record is 75%

\(\frac{40 + x}{60 + 32} = \frac{75}{100} = \frac{3}{4}\)

\(4(40+x) = 92*3\) -> \(160 + 4x = 276\) -> \(4x = 116\) -> \(x = \frac{116}{4} = 29\)

Therefore, the basketball team will have to win 29 of its remaining matches to have a 75% record for the season(Option B)
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Re: A baseball team has won 40 games out of 60 played. It has 32 more gam  [#permalink]

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New post 28 Feb 2018, 11:11

Solution




    • The number of games won out of 60 matches = 40

    • Number of games left to play = 32

      o Thus, total matches = 60 + 32 = 92

    • Number of matches that the team needs to win = 75% of total = 3/4 * 92 = 69

    • Thus, number of additional matches they need to win = 69 – 40 = 29

Correct Answer: Option B
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Re: A baseball team has won 40 games out of 60 played. It has 32 more gam  [#permalink]

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New post 01 Mar 2018, 17:33
Bunuel wrote:
A baseball team has won 40 games out of 60 played. It has 32 more games to play. How many of these must the team win to make its record 75% for the season?

(A) 26

(B) 29

(C) 28

(D) 30

(E) 32


Let’s express 75% as 3/4. We can let n = the number of wins needed by the team and create the equation:

(40 + n)/92 = 3/4

Cross-multiplying, we get:

4(40 + n) = 92 x 3

40 + n = 23 x 3

40 + n = 69

n = 29

Answer: B
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Re: A baseball team has won 40 games out of 60 played. It has 32 more gam &nbs [#permalink] 01 Mar 2018, 17:33
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