A 14-yrd fishing line i cut into two pieces. Three times the length of the longer piece is four times the length of the smaller piece. find the length of the two pieces.
2007-03-25 14:00:39 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Other - Science
1 and 1.
2007-03-25 14:05:32 · answer #1 · answered by SlashDance 3 · 0⤊ 1⤋
long piece = x short piece = y the full of the two products is 14 yds. x + y = 14 exhibit x in terms of y x = (14 - y) 3 time the long piece is 4 circumstances and so on. 3x = 4y replace for x from the unique equation 3 * (14 - y) = 4y improve & simplify 40 two - 3y = 4y 40 two = 7y y = 40 two/7 y = 6 subsititue lower back into unique equation as x + y = 14 x = 14 - y x = 14 - 6 x = 8 long piece 8 yds short piece 6 yds
2016-12-08 11:13:51 · answer #2 · answered by Anonymous · 0⤊ 0⤋
equation1: 3x = 4y
so x=4/3y
equation 2: x + y = 14yards
substituting: 4/3y + y = 14
so 7/3y = 14
and 7y = 42
so y = 6 yards
substituting in equation2: x + y = 14 yards
so x = 14 - 6 = 8 yards
2007-03-25 14:25:26 · answer #3 · answered by gatorbait 7 · 0⤊ 0⤋
x = long piece
14-x = short piece
3x = 4(14-x)
3x = 56 - 4x
7x = 56
x = 8 = long piece
14-x = 6 = short piece
Check
3*8 = 4* 6
24=24
2007-03-25 14:07:25 · answer #4 · answered by ecolink 7 · 0⤊ 0⤋
6 and 8 that took me about .5 min and i didnt look at the other answers
2007-03-25 14:11:22 · answer #5 · answered by crazykid 2 · 0⤊ 0⤋