The Tigers won twice as many football games as they lost.They played 96 games. How many games did they win?

3 answers

x 2x = 96

x = 32

They lost 32 games.
x = games won
y = games lost

Write two equations:

x + y = 96
x = 2y

Substitute the second equation into the first equation:

2y + y = 96
3y = 96
3y/3 = 96/3
y = 32

Solve for x. Put y value in either equation:

x = 2(32)
x = 64
Ratio of win : lost = 2 : 1 = 2x : x

2x+x = 96
3x = 96
x = 32

won = 2x = 64
lost = x = 32