SOLUTION: please tell me if this answer is correct. a 25 foot beam is to be divided so that the longer piece is 1 foot more than 5 times the shorter piece.if x represents the length of the s

Algebra.Com
Question 262856: please tell me if this answer is correct. a 25 foot beam is to be divided so that the longer piece is 1 foot more than 5 times the shorter piece.if x represents the length of the shorter piece,find the length of both pieces. i have 1.6 for the shorter piece and 8 for the longer piece.
Answer by dabanfield(803)   (Show Source): You can put this solution on YOUR website!
please tell me if this answer is correct. a 25 foot beam is to be divided so that the longer piece is 1 foot more than 5 times the shorter piece.if x represents the length of the shorter piece,find the length of both pieces. i have 1.6 for the shorter piece and 8 for the longer piece.
Let x be the length of the shorter piece and y the length of the longer piece.
Then we have:
1.) x + y = 25
2.) y = 5*x + 1
From 1.) we have x = 25 - y
Substitute 25 - y for x in equation 2.):
y = 5*(25 - y) + 1
y = 125 - 5y + 1
6y = 126
y = 21
Since x = 25 - y, we have x = 25 - 21 = 4

RELATED QUESTIONS

A beam that is 21 meters long is to be divided into two pieces so that the longer piece... (answered by Fombitz)
a 25 foot wire is to be cut so the longer piece is 1 foot longer than 5 times the shorter (answered by oberobic)
A 25-foot wire is to be cut so that the longer piece is one foot longer than 5 times the... (answered by drj)
Cutting beams: A 30-foot steel beam is to be cut into two lower pieces. The longer piece... (answered by rfer)
An 18-foot wire is to be cut so that the longer piece is 5 times longer than the shorter... (answered by stanbon)
A 24 foot wire is to be cut so that the longer piece is three times longer than the... (answered by Alan3354)
A 17 foot rope is to be cut into two pieces with the result that the longer piece is 1... (answered by ankor@dixie-net.com)
can i get the answer a 16 foot piece of string is cut into two pieces so that the... (answered by Alan3354)
an 18 ft pipe is to be cut into 3 pieces such that the second piece is 1 foot longer than (answered by jessica43)