Algebra 1
posted by Alex on .
The Tigers won twice as many football games as they lost.They played 96 games. How many games did they win?

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