Question

Michelle and Danielle each improve their yards by planting rosebushes and Ivy. They bought their supplies from the same store. Michelle spent $104 on two rosebushes and seven parts of Ivy. Danielle spend 68 on two rosebushes and four pots of Ivy.Find the cost of one rose bush and the cost of one pot of ivy.

Answer 1

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:

`2r+7i=104...(1)`

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:

`2r+4i=68...(2)`

Upon subtracting equation (2) from equation (1), we will get:

`2r-2r+7i-4i=104-68`

`3i=36`

`(3i)/(3)=(36)/(3)`

`i=12`

Therefore, cost of each pot of ivy is $12.

Upon substituting
`i=12` in equation (1), we will get:

`2r+7(12)=104`

`2r+84=104`

`2r+84-84=104-84`

`2r=20`

`(2r)/(2)=(20)/(2)`

`r=10`

Therefore, cost of each rose bush is $10.