SOLUTION: On the number line AD is 64 units long. The lenght of CD is 75% of the length of AB, while BC is 225% that of AB. What is the lenght of segment CD?

Algebra ->  Number-Line -> SOLUTION: On the number line AD is 64 units long. The lenght of CD is 75% of the length of AB, while BC is 225% that of AB. What is the lenght of segment CD?      Log On


   

Question 447347: On the number line AD is 64 units long. The lenght of CD is 75% of the length of AB, while BC is 225% that of AB. What is the lenght of segment CD?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
AD = 64

AB = x
BC = y
CD = z

z = 3x/4
y = 9x/4

x + 3x/4 + 9x/4 = 64
4x = 64
x = AB = 16

CD = 3x/4 = 12