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A carpenter needs two pieces of lumber which together are 21 feet long the longer piece needs to be 1 foot longer than three times the length of the shorther piece find the length of each piece?
Wiki User
∙ 14y ago
Call the shorter piece 'x'.
The longer piece is (3x+1), you said so yourself.
They add up to 21 feet. (You said "together"; I have to assume that means "end-to-end".)
x + (3x + 1) = 21
x + 3x + 1 = 21
4x + 1 = 21
4x = 20
x = 5
3x + 1 = 16
The lengths of the pieces are 5-ft and 16-ft.
================================
Check:
Is (5 + 16) = 21 ?
Yes.
Is (16) = (3 x 5) + 1 ?
Yes.
Yay !
Wiki User
∙ 14y ago
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