GIGISWEETS03
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Will averages 18 points a game and is the all-time scoring leader on his team with 483 points. Tom averages 21 points a game and is currently second on the all-time scorers list with 462 points. If both players continue to play at the same rate, how many more games will it take until Tom and Will have scored the same number of total points?

Verified Answer :

let x = the number of games

18x + 483 = 21x + 462

by solving we find:

x = 7 games

To solve, we need an equation.

We can set up an equation, then solve for x.

Will :-  18x + 483
Tom :-  21x + 462

Now, we combine these to get this :  18x + 483 = 21x + 462

We must solve for x now.

Do the inverse operation ( get x on one side of the equation )

18x + 483 = 21x + 462
-18x           -18x

483 = 3x + 462

Subtract 462 from both sides.

483 = 3x + 462
-462        - 462

21 = 3x

Divide 3 form both sides.

21/3 = 3x/3
21/3 = x
x= 7

We have our final answer : After 7 games, Tom and Will will have scorec the same number of total points. 

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