a board 76 inches long is to be cut into two parts so that one part is five inches less than twice as long as the other part. find the length of each part.
2007-08-09 17:04:31 · 12 answers · asked by Kevin 1 in Science & Mathematics ➔ Mathematics
Length of first part = x
Length of second part = 2x - 5
x + 2x - 5 = 76
3x = 81
x = 27
2x - 5 = 49
The parts are 27 inches and 49 inches long.
2007-08-09 17:07:36 · answer #1 · answered by gudspeling 7 · 1⤊ 0⤋
Suppose the length of the "other" part be L.
The length of the first part is (2L - 5).
Together, they total a length of 76 in, which means
L + (2L - 5) = 76
3L = 81
L = 27 in
Therefore the parts are 27 inches and 49 inches in length.
2007-08-09 17:11:01 · answer #2 · answered by Nik 1 · 0⤊ 0⤋
The pieces are 22' and 54"
22 + 5 = 27
27 x 2 = 54
54 + 22 = 76
2007-08-09 17:15:44 · answer #3 · answered by Kevin H 7 · 0⤊ 0⤋
76 = n + (2n-5)
81 = n + 2n
81 = 3n
81/3 = n
27 = n
27 inches and ([27 * 2] - 5) 49 inches
2007-08-09 17:13:24 · answer #4 · answered by aaaaaaaa 2 · 0⤊ 0⤋
given
length = 76 in.
x= first part
2x-5 = 2nd part
2x-5+x=76
3x=76+5=81
x=27 inches
2x-5=2(27)-5=49 inches
2007-08-09 17:13:09 · answer #5 · answered by ptolemy862000 4 · 0⤊ 0⤋
Let x = 1 part
Let 76-x = 2nd part
x=2(76-x) -5
x = 152 -2x -5
3x = 147
x=49
76-x=27
2007-08-09 17:13:07 · answer #6 · answered by HazelChicsta 2 · 0⤊ 0⤋
S = length of the short piece, L = length of the long piece
S + L = 76
L = 2S - 5
by substitution..
3S - 5 = 76
3S = 81
S = 27, L=49
2007-08-09 17:13:57 · answer #7 · answered by Anonymous · 0⤊ 0⤋
Set up an equation
Let x=length of one part in inches
76=x+2x-5
81=3x
x=27
27 inches, 49 inches
2007-08-09 17:09:15 · answer #8 · answered by Anonymous · 0⤊ 0⤋
length of "other part" = x
length of "one part" = 2x - 5
so
2x - 5 + x = 76
3x = 81
x = 27
2x - 5 = 49
2007-08-09 17:07:47 · answer #9 · answered by Philo 7 · 0⤊ 0⤋
Hello,
The answer to your question is:
On part measures: 36 inches
Another part measures: 35 inches
The other part measures: 5 inches.
Total = 76
BringBaka.
NYC.
2007-08-09 17:13:45 · answer #10 · answered by BringBaka 3 · 0⤊ 0⤋