Let r represent cost of each rose bush and i represent cost of each ivy.
We have been given that Michelle spent $104 on two rosebushes and seven parts of Ivy. We can represent this information in an equation as:
[tex]2r+7i=104...(1)[/tex]
We are also told that Danielle spend 68 on two rosebushes and four pots of Ivy. We can represent this information in an equation as:
[tex]2r+4i=68...(2)[/tex]
Upon subtracting equation (2) from equation (1), we will get:
[tex]2r-2r+7i-4i=104-68[/tex]
[tex]3i=36[/tex]
[tex]\frac{3i}{3}=\frac{36}{3}[/tex]
[tex]i=12[/tex]
Therefore, cost of each pot of ivy is $12.
Upon substituting [tex]i=12[/tex] in equation (1), we will get:
[tex]2r+7(12)=104[/tex]
[tex]2r+84=104[/tex]
[tex]2r+84-84=104-84[/tex]
[tex]2r=20[/tex]
[tex]\frac{2r}{2}=\frac{20}{2}[/tex]
[tex]r=10[/tex]
Therefore, cost of each rose bush is $10.
