SOLUTION: A board 10ft long is cut into two pieces. Thgree times the length of the shorter pice is twice the length of the longer piece. Find the length of each piece.

Question 58029: A board 10ft long is cut into two pieces. Thgree times the length of the shorter pice is twice the length of the longer piece. Find the length of each piece.
Answer by rcmcc(152) (Show Source): You can put this solution on YOUR website!
we can solve this question by making a two linear equations to solve for the shortest piece.
lets make the shortest piece x
the middle piece y
since the longest board is 3 times larger than the smallest board we can express it as 3x
3x=2y
we can make the standard equation by adding all the x's and y to equal 10
3x+x+y=10
by using the substitution method you can solve for x by isolating y in the first equation and substituting it in for x
(3/2)x=y
4x+(3/2)x=10
5.5X=10
divide both sided by 5.5 to isolate x
x=(20/11)
So the largest piece is (60/11)ths and the middle piece is (30/11)ths.
so your answers are
smallest peice=(20/11)ft.
middle piece=(30/11)ft.
largest piece=(60/11)ft.

RELATED QUESTIONS
A board 21 ft long is cut into two pieces. Five times the length of the shorter piece is... (answered by ewatrrr)

A board 25 feet long is cut into two pieces. Five feet less than two times the length of... (answered by ankor@dixie-net.com,Theo)

Suppose that a board 20 feet long is cut into two pieces. Four times the length of the... (answered by RAY100)

A 19 ft. of board cut into two pieces. the shorter piece is 7ft. shorter than the longer... (answered by rfer)

A 14-foot board is cut into two pieces. Twice the length of the shorter piece is 5 ft... (answered by checkley77)

A 22-foot board is cut into two pieces. Twice the length of the shorter piece is 5 feet... (answered by addingup)

A 21 ft board is cut into two pieces. The shorter piece is 5 ft than the longer piece .... (answered by math-vortex)

A 18-foot board is cut into two pieces. Four times the length of the shorter piece is 2ft (answered by TimothyLamb)

a 20-foot board is cut into two pieces the longer piece is 4.5 feet longer then the... (answered by haileytucki)