SOLUTION: A man bought a total of 80 feet of materials which are chain links and rope. A chain link cost $2 per foot, and the rope cost $1.50 per foot, and a total of $135 was spent. How muc

Algebra.Com
Question 1043196: A man bought a total of 80 feet of materials which are chain links and rope. A chain link cost $2 per foot, and the rope cost $1.50 per foot, and a total of $135 was spent. How much of each did he buy? So, my question here is how do I start the problem and set up an equation to solve it? What's the algebraic analysis and solution? I need your help, please.
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Name your variables.
-feet of chain links purchased
-feet of rope purchased
Convert the words to algebraic equations,
Total of 80 feet,
1.
Total of $135,
2.
Now you have a system of 2 equations with 2 unknowns.
There are many methods to solve this system.
You can use substitution.
From eq. 1,

Now substitute this into eq. 2,




Now use eq. 1 to solve for .

RELATED QUESTIONS

If a chain link cost $2 per foot, and the rope cost $1.50 per foot, and a total of $135... (answered by ikleyn)
You are given four pieces of chain, each consisting of 3 links. Show how these 4 pieces... (answered by Hook)
You are given four pieces of chain, each consisting of 3 links. Show how these 4 pieces... (answered by ikleyn)
Samir has a 23 link chain. He wants to cut and disengage the minimum number of links so... (answered by ikleyn)
You have been asked to build an enclosure to store materials and equipment. You have a... (answered by checkley79)
a 120 foot long rope is cut into 3 pieces. the first piece of rope is twice as long as... (answered by RAY100)
A machine produces chains that are 500 links in length. The chains are made of black and (answered by venugopalramana)
you cut x feet from a 10 foot rope, leaving y feet of remaining rope. What is the... (answered by ikleyn)
A. Antonia has a green rope and a blue rope. Her green rope is 4 feet in length. She cut... (answered by josgarithmetic)