Question 1043196
Name your variables.
{{{C}}}-feet of chain links purchased
{{{R}}}-feet of rope purchased
Convert the words to algebraic equations,
Total of 80 feet,
1.{{{C+R=80}}}
Total of $135,
2.{{{2C+1.5R=135}}}
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,
{{{C=80-R}}}
Now substitute this into eq. 2,
{{{2(80-R)+1.5R=135}}}
{{{160-2R+1.5R=135}}}
{{{-0.5R=-25}}}
{{{R=50}}}
Now use eq. 1 to solve for {{{C}}}.