SOLUTION: A carpenter used 54ft of molding in three pieces to trim a garage door. If the long piece was 4ft longer than three times the length of each shorter piece, then how long was each p

Question 1144546: A carpenter used 54ft of molding in three pieces to trim a garage door. If the long piece was 4ft longer than three times the length of each shorter piece, then how long was each piece?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

Let x be the length of each of the two shorter pieces.


Then the length of the longer piece is  3x+4, and the equation for the total is


    x + x + (3x + 4) = 54.


Simplify and solve for x.


    5x + 4 = 54

    5x = 54 - 4 = 50.

     x          = 50/5 = 10.


ANSWER.  Both short pieces are 10 ft long.  The long piece is 3*10+4 = 34 ft long.

Solved.

RELATED QUESTIONS
A carpenter used 44 ft of molding in three pieces to trim a garage door. if the long... (answered by macston,TimothyLamb)

a carpenter used 30 feet of molding in three pieces to trim a garage door. If the long... (answered by scott8148)

A carpenter used 26 ft of molding in three pieces to trim a garage door. If the long... (answered by sdmmadam@yahoo.com)

a carpenter used 48 ft of molding in three pieces to trim a garage door. if the longer... (answered by Boreal)

A Carpernter used 26ft. of molding in three pieces to trim a garage door. If the long... (answered by ptaylor)

A carpenter used 30 ft of molding in three pieces to trip a garage door. If the long... (answered by checkley75)

A contractor wants to use 34 feet of molding, cut into three pieces, to trim the sides... (answered by rfer)

Ok so I've been very frustrated trying to solve this problem, Please help. Test is... (answered by scott8148)

38. Door trim. A carpenter used 30 feet of trim to finish three sides of the opening for... (answered by stanbon)