BTGmoderatorDC wrote:A baseball team's season consists of playing 162 games. At a certain point in its season, the team has won 55 percent of the games it has played. The team then wins a certain number of consecutive games so that at the end of the winning streak, the team has won 58 percent of the games it has played. How many wins did the team have at the end of its winning streak?
a. 10
b. 14
c. 42
d. 77
e. 87
The team has won 58 percent of the games it has played.
58% = 58/100 =
29/50.
The fraction in blue implies that the number of wins must be a MULTIPLE OF 29:
If 50 games are played, the number of wins = (29/50)(50) = 29.
If 100 games are played, the number of wins = (29/50)(100) = 58.
If 150 games are played, the number of wins = (29/50)(150) = 87.
Of the five answer choices, only E is a multiple of 29.
The correct answer is
E.
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