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lara31 [8.8K]
2 years ago
8

This is for AICE Critical Thinking

Advanced Placement (AP)
1 answer:
Veronika [31]2 years ago
5 0

Answer:

22 games

132 games

58 - 40

Explanation:

Given that:

Total Number of teams = 12

Number of times a team play every other = 2 (home and away)

Number of ties = 34

Let :

home wins = x

Away wins = x - 18

1: How many games did any one particular team play?

(Total Number of teams - 1) * number of times a team play every other

(12 - 1) * 2

11 * 2 = 22 games

2: How many total games were played in the league?

(Number of games played per team * number of teams) / 2

(22 * 12) / 2

= 264 /2

= 132 games

3: What was the Won-Loss record by Home Teams last season?

Total number of games = 132

Home wins + away wins + ties = 132

x + x - 18 + 34 = 132

2x + 16 = 132

2x = 132 - 16

2x = 116

x = 58

Home team wins = 58

Away team wins = home team loss = 58 - 18 = 40

Hence, Won - Loss record by Home team :

58 : 40

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