Example 3. In an inter-barangay basketball league, the team from Barangay Culiat has won 12 out of 25 games, a winning percentage of 48%. How many games should they win in a row to improve their win percentage to 60% Solution. Let X represent the number of games that they need to win to raise their percentage to 60%. The team has already won 12 out of their 25 games. If they win x games in a row to increase their percentage to 60%, then they would have played 12 + x games out of their 25 + x games. 12 + x = 0.6 Multiply 25 +x to both sides of the equation and solve the The equation is 25 + x resulting equation. 12 + x = 0.6 25 + x 12 + x = (25 +x)(0.6) 12 + x = 0.6(25) +0.6(x) x - 0.6x == 15 – 12 0.4x = 3 x = 7.5 Therefore, Barangay Culiat needs to win 8 games in a row to raise their winning percentage to 60%. In an inter-barangay basketball league, the team from Barangay Culiat has won 12 out of 25 games, a winning percentage of 48%. We have seen that they need to win 8 games consecutively to raise their percentage to at least 60%. What will be their winning percentage if they win: (a) 10 games in a row?

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