SOLUTION: The points A,B C and D divide the line segment AD in the ratio 5/2 : 4/3 : 5/6 , respectively and AB =30 cm What is the length of BD?

Algebra ->  Proportions -> SOLUTION: The points A,B C and D divide the line segment AD in the ratio 5/2 : 4/3 : 5/6 , respectively and AB =30 cm What is the length of BD?      Log On


   

Question 1181170: The points A,B C and D divide the line segment AD in the ratio 5/2 : 4/3 : 5/6 , respectively and AB =30 cm
What is the length of BD?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
You want to solve for BD, and the needed proportion just using the given facts is easily formed.

30%2F%285%2F2%29=%28BD%29%2F%284%2F3%2B5%2F6%29
.
.
.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The response from the other tutor is rather cryptic; it may not be of much help to a typical student.

We are given this:
AB:BC:CD = (5/2):(4/3):(5/6)

Multiply the given ratios by 6 to clear fractions:

AB:BC:CD = 15:8:5

With that ratio, let the three lengths be 15x, 8x, and 5x.

We are given AB = 30cm, so 15x=30cm, and x=2cm; that makes BD=BC+CD = 8x+5x=13x=26cm.