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.

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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) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the two length A and B.
1.A%2BB=55
2.A%2FB=4%2F7
From eq. 2,
A%2FB=4%2F7
7A=4B
Substitute into eq. 1,
A%2BB=55
7A%2B7B=385
4B%2B7B=385
11B=385
highlight_green%28B=35%29
Then from eq. 1,
A%2B35=55
highlight_green%28A=20%29