Question

In a ten pin bowling the highest possible score in a single game is 300. At one point in the season, John had an average score of 177. In his next game he obtained a score of 199 which caused his average to increase to 178. After one more game John would like his average to be 183. is it possible for him to accomplish this. If so what score does he need to make his next game if not explain why not.

Answer 1

John need to get 293 in his next game to bring his average up to 183.

Explanation:

John starts with N games played and averaging 177 points per game.

In game N+1, John scored 199 points.

`(177N + 199)/(N+1)=178\\177N+199=178N+178\\N=21\\`

So, John has now played (N+1) = 22 games.

We need to know what score John needs in game 23 to bring his average to 183.

`(177*21 + 199+Y)/(23)=183\\3916+Y=4209\\Y=293\\`