My basketball team plays four games per week. during the first four weeks, we lost all 16 of our games. during week 5, we won three games and lost one game, bringing us to 3 wins and 17 losses for the season so far. each week after that, we win 3 games and lose 1 game. at the end of which week will my team have won at least 65% of its games total for the first time in the season?

You need 30 total weeks to win at least 65% games

Step-by-step explanation:

Team have played = 20 games

Number of winning games = 3

Let x represents the number of additional weeks.

You have won 3 games per week. Therefore you will win 3x additional games.

We know that 65% = 0.65

Therefore,

3+3x/20+4x = 0.65

By cross multiplication:

3+3x= 0.65(20+4x)

3+3x = 13+2.6x

Combine the like terms:

3x-2.6x = 13-3

0.4x=10

4x/10 =10

4x = 10*10

4x=100

Divide both sides by 4

4x/4 = 100/4

x = 25

since you have already played 5 weeks...you need to play 25+5 = 30 weeks.

Therefore you need 30 total weeks to win at least 65% games

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a. is correct