A football team played 38 games in a tournament and collected a total of 70 points. 3 points were awarded for a win and 1 point for games they tied. No points were deducted for games they lost. The team won twice as many games as they tied. Find the number of games the team lost.

KINGCASH Apr 20, 2021

#1**-1 **

3x+y=70

x+y=38

subtract equation 2 from equation 1:

2x=32

x=16

16+y=38

y=$\boxed{22}$

SparklingWater2 Apr 20, 2021

#2**+3 **

1 group --> 2 wins + 1 draw

Points for a group of 2 wins and 1 draw

--> 2 * 3 + 1 * 1

= 7

No points were scored for any loses, so all the 70 points must be due to the wins and draws, which were in groups of 2 wins and 1 draw.

70 ÷ 7 = 10 (Number of groups)

3 * 10 = 30 (Total wins and draws)

38 - 30 = 8

The team lost 8 games.

Tgfromthe4 Apr 20, 2021