Problem: A football team has a ratio of win to loss of 3 : 1. After winning 6 games in a row, the team’s ratio of win to loss became 5 : 1. How many games had the team won before it played the last six games?
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Correct Answer: 9
Explanation:
Let, the number of wining game be 3x
The number of losing games be x
According to the question,
3x + 6 : x = 5
=> $\frac{3x+6}{x} = \frac{5}{1}$
=> 3x + 6 = 5x
=> 5x-3x = 6
=> 2x = 6
=> $x=\frac{6}{2}$
x = 3
The team won before It played the last six games = 3x = 3 x 3 = 9