SOLUTION: A 40 foot beam is to be cut in two. If one portion is one third the length of the other portion, what are the two length of the portions?

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Question 405519: A 40 foot beam is to be cut in two. If one portion is one third the length of the other portion, what are the two length of the portions?
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
A 40 foot beam is to be cut in two. If one portion is one third the length of the other portion, what are the two length of the portions?
.
Let x = length of larger portion
then
x/3 = length of smaller portion
.
x + x/3 = 40
multiplying both sides by 3:
3x + x = 120
4x = 120
x = 30 feet (larger portion)
.
smaller portion:
x/3 = 30/3 = 10 feet

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