Question

what is the average (arithmetic mean) number of runs per game scored by the new york yankees last season ? (1) last season, the new york yankees played 160 games (2) last season, the new york yankees scored four runs per game in exactly 1/5 of their games, five runs per game in exactly 3/4 of their games, and nine runs per game in exactly 1/20th of their games.

Answer 1

5

Explanation:

(1) last season, the new york yankees played 160 games

(2) last season, the new york yankees scored

4 runs per game in exactly 1/5 of their games, 1/5*160 =32 games

5 runs per game in exactly 3/4 of their games, 3/4*160 =120 games

9 runs per game in exactly 1/20th of their games 1/20*160 = 8 games

total runs 4*32+ 5*120 + 9 *8 = 128+600+72 =800

total games 160

average: 800/160 =5