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icang [17]
3 years ago
12

A 76 foot piece of rope is cut into three pieces where one piece is three times longer than the other two equal pieces. How long

is each piece? (decimals allowed)
Mathematics
1 answer:
jonny [76]3 years ago
4 0
Let the length of one of the shorter pieces be \ell. Then, we know that two of the pieces are that length, and the third piece is 3 \ell. Since these are all pieces of a rope, all we need to do to figure out the lengths is add all those together, solve for \ell, and then plug that back in to the desired lengths:

3 \ell + \ell + \ell = 76 ft.
5 \ell = 76 ft.
\ell = 15.2 ft.

Shorter pieces: \ell = \bf 15.2 ft.
Longer piece: 3 \ell = \bf 45.6 ft.
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