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Math problem for my 101 math. HELP!?
A 17ft piece of string is cut into two pieces so that the longer piece is 2ft longer than twice the shorter piece. Find the length of both pieces.
Anyone who can answer my last math problem gets an easy 10pts. Thanks i did most of the problems but time is running out, and math isnt my best subject.
9 Answers
- 1 decade agoFavorite Answer
Let x represent the length of the shorter piece.
The shorter piece (x) + the longer piece = 17
Now you know that the longer piece is 2 feet longer than 2*shorter piece (x)
So the longer piece is 2 + 2x
Now just put this all together to find x
(x) + (2x + 2) = 17
x + 2x + 2 = 17
3x = 15
x = 15/3
Therefore x = 5 feet (this is the length of the shorter piece)
Substitute this value of x = 5 into the equation for the longer piece to find it's length.
2 + 2(5)
=2 + 10
=12
So the shorter piece is 5', and the longer piece is 12'.
Hope that helps :o)
- 1 decade ago
Let x represent the shorter piece. The larger piece will be 2x + 2, since it's 2 feet longer than twice the shorter piece.
Add x plus 2x + 2 and set it equal to 17, the total length of the piece of string at the beginning and solve for x.
x + 2x + 2 = 17
3x + 2 = 17
3x = 15
x = 5
The shorter piece is 5 feet long, the larger piece is 2(5) + 2 = 12 feet long.
- Pure KenergyLv 41 decade ago
x+ 2x + 2 = 17
3x + 2 =17
3x = 15
x = 5 is the shorter piece.
5*2+2 = 12 is the longer piece
5ft + 12ft = 17ft
- Anonymous1 decade ago
x + 2x + 2 = 17
3x + 2 = 17
3x = 15
x=5
Shorter piece is 5 feet long.
The longer piece is 12 feet long, 2 feet longer than twice the shorter piece.
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- 1 decade ago
short piece = x
long piece = 2x+2
therefore:
x + 2x +2 = 17
3x+2 = 17
3x +2 -2 = 17 - 2
3x = 15
3x/3 = 15/3
x = 5
Therefore short piece is 5
and
long piece is 2(5) +2 = 12
- Anonymous1 decade ago
your problem can be represented by two linear eqns as,
x=2+2y and x+y=17
solving these two you get x= 12ft and y=5ft
so, longer piece is 12ft and the other is 5ft. Thats it!
- 1 decade ago
Math is my worst subject too! Im trying 2 figure this out for you but im only in 5th grade!!!!!!! Im sorry would help if i could figure this out I spent half of last night but this makes NO sense!
SORRY