SOLUTION: a cable that is 55 ft. long is to be cut into two pieces whose legnths have a ratio of 4 to 7. find the lenght of the two pices.

Question 299880: a cable that is 55 ft. long is to be cut into two pieces whose legnths have a ratio of 4 to 7. find the lenght of the two pices.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let's call the two length A and B.
1.
2.
From eq. 2,

Substitute into eq. 1,

Then from eq. 1,