SOLUTION: Points B and C lie on segment AD. Find AC if: AB/BD = 3/4 , AC/ CD = 5/6 , and BD = 66.

SOLUTION: Points B and C lie on segment AD. Find AC if: AB/BD = 3/4 , AC/ CD = 5/6 , and BD = 66.

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Question 1106180: Points B and C lie on segment AD. Find AC if:
AB/BD = 3/4 , AC/ CD = 5/6 , and BD = 66.

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

Since AB/BD = 3/4, let AB=3x and BD=4x.
We know BD = 66, so
; ;
And then we know

Since AC/CD = 5/6, let AC=5y and CD=6y. Then since AC+CD = AD,
; ;
And then we know

The length of AC is 52.5.
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