Question

How many more games will it take until tom and will have scored the same number of points

Answer 1

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.