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) About Me  (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
4x=66; x=16.5; AB+=+3x+=+49.5
And then we know AD+=+AB%2BBD+=+66%2B49.5+=+115.5

Since AC/CD = 5/6, let AC=5y and CD=6y. Then since AC+CD = AD,
5y%2B6y=115.5; 11y+=+115.5; y+=+10.5
And then we know AC+=+5y+=+52.5

The length of AC is 52.5.