Question

Two-thirds of the way through the basketball season, tina thompson of the houston comets has an average of 18 points per game. What must her point average be for the remaining games to average 22 points per game for the season?

Answer 1

Her point average must be 30 per game for the remaining games.

Step-by-step explanation

Suppose, the total number of games in the season is
`x`

As the average of all games for the season is 22 points per game, so the total points in all games =
`22x`

Now, two-thirds way of the season, the average is 18 points per game. That means, for
`(2x)/(3)` number of games, the average is 18 points per game.

So, the total points in
`(2x)/(3)` number of games
`= (2x)/(3)*18= 12x`

Now the number of remaining games
`= x- (2x)/(3)= (x)/(3)` and the total points in these remaining games
`= 22x-12x= 10x`

So, the average for the remaining games
`= (10x)/((x)/(3))= (30x)/(x)= 30` per game.