In his first three years of coaching basketball at North High School, Coach Lucas' team won 8 games the first year, 17 games the second year, and 6 games the third year. How many games does the team need to win in the fourth year so the coach's average will be 10 wins per year?
to have an average of 10 games in 4 years, they must have a total of 40 games
so far they have 8+17+6 = 31
so in the fourth year they need 9 games
or
(8+17+6+x)/4 = 10
31+x = 40
x = 9
To find out how many games the team needs to win in the fourth year, let's calculate the total wins for the first three years.
In the first year, the team won 8 games.
In the second year, the team won 17 games.
In the third year, the team won 6 games.
To find the total wins in the three years, add the individual wins together:
8 + 17 + 6 = 31
Now let's calculate the number of wins the team needs in the fourth year to average 10 wins per year over the four years.
To maintain an average of 10 wins per year over four years, the team would need a total of:
10 wins/year x 4 years = 40 wins
Since the team already has 31 wins after the first three years, they need:
40 wins - 31 wins = 9 wins
Therefore, the team needs to win 9 games in the fourth year to achieve an average of 10 wins per year over the four years.
To find out how many games the team needs to win in the fourth year, we need to determine the total number of wins Coach Lucas has in his first three years, and then find how many wins are needed in the fourth year to achieve an average of 10 wins per year.
To calculate the total number of wins in the first three years, we add up the number of wins each year:
8 + 17 + 6 = 31
Next, we need to calculate how many wins are needed in the fourth year to achieve an average of 10 wins per year. Since the coach has completed three years, there will be a total of 4 years, and the average number of wins per year should be 10.
The total number of wins for four years should be: 4 years * 10 wins/year = 40 wins
Finally, to find out how many wins the team needs in the fourth year, we subtract the total wins in the first three years from the total wins for four years:
40 total wins - 31 wins in the first three years = 9 wins
Therefore, the team needs to win 9 games in the fourth year to achieve an average of 10 wins per year for Coach Lucas.