Answer:
Both players will need to play 7 more games to have the same score.
Step-by-step explanation:
Will makes 18 points per game and Tom makes 21 points per game. Will has a total of 483 points and Tom has 462 points.
We have to calculate the number of games Tom and Will need to play for them to have the same number of points. Since Tom makes more points per game, we're sure it will eventually happen.
Let's call x to the number of games that both players will play. Will will have a number of points equal to:
W = 483 + 18x
And Tom will have:
T = 462 + 21x
For both number of games to be equal, the equation to solve is:
483 + 18x= 462 + 21x
Move 18x to the right side and 462 to the left side:
483 - 462 = 21x - 18x
Operating:
21 = 3x
x = 21 / 3 = 7
Thus, both players will need to play 7 more games to have the same score.
