SOLUTION: If a basketball team's present record is 42 wins and 36 losses, how many consecutive games must it win so that its winning record reaches 60%? (this question has to do with ration

Algebra.Com
Question 822025: If a basketball team's present record is 42 wins and 36 losses, how many consecutive games must it win so that its winning record reaches 60%?
(this question has to do with rational functions)
Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!
The winning percentage is found using an equation like:
                         number of wins
Winning percentage = --------------------- * 100
                     total number of games
Let x = the number of consecutive games to win to reach a winning percentage of 60%. Then...
42 + x = the total number of wins
42 + 36 + x = the total number of games.
This makes our equation:

which simplifies to:

Dividing each side by 100:

Multiplying each side by (78+x) (to eliminate the fraction):

Simplifying:

Subtracting 0.60x:

Subtracting 42:

Dividing by 0.40:
RELATED QUESTIONS

41. This season the basketball team has won 8 games and lost 4. (a) What is the... (answered by drk)
A baseball team has a record of 13 wins and 21 losses. How many games must the team win... (answered by Alan3354)
Out of their first 40 games the Williamsbury Wildwings had a record of 18 wins and 22... (answered by Fombitz)
Out of their first 40 games the Williamsbury Wildwings had a record of 18 wins and 22... (answered by jorel1380)
If a basketball team has 10 games to play, how many different outcomes of wins and 4... (answered by ewatrrr)
A basketball team won two out of their last four games. In how many different orders... (answered by stanbon)
A soccer team has 16 wins and 13 losses. What is the least number of games which the team (answered by jorel1380)
A team in the NBA has won 30 of its first 40 games. How many wins must the team have in... (answered by Cromlix)
My street hockey team plays three games each week. My team lost all $9$ games in the... (answered by math_tutor2020)