Bernard bowled an average of 150 points a game for 12 games. If he bowls 6 more games, how high an average must he make in these games to raise his average (arithmetic mean) for the 18 games to 160. Explain your answer.

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given :

Average for first 12 games = 150

Required Average after 18 games = 160

So, Number of points required in next 6 games = (18 × 160 - 12 × 150)/6

= (2880 - 1800)/6

= 1080/6

= 180

 

Hence, number of points required in next 6 games is 180.