Question

A builder planned to build houses. Each house will be built on 5/6 of an acre. How much land would be needed for 7 houses? The builder began with 10 acres of land . After 7 houses were built, how much land was left unused?

Answer 1

For 7 houses you will need 5.83 acres of land and the builder will have 4.16 acres of land unused 

Answer 2

`5(5)/(6)\approx 5.833` acres of land would be needed for 7 houses.

`(25)/(6)\approx 4.17` acres of land was left unused.

Explanation:

We have been given that each house will be built on 5/6 of an acre.

To find the area it will take to build 7 houses, we will multiply area need to build one house by 7 as:

`(5)/(6)* 7`

`(35)/(6)`

`5(5)/(6)\approx 5.833`

Therefore,
`5(5)/(6)\approx 5.833` acres of land would be needed for 7 houses.

Since builder began with 10 acres of land, so we can find the unused land by subtracting
`5(5)/(6)` from 10 as:

`10-5(5)/(6)`

`10-(35)/(6)`

`(10*6)/(6)-(35)/(6)`

`(60)/(6)-(35)/(6)`

`(60-35)/(6)`

`(25)/(6)`

`(25)/(6)\approx 4.17`

Therefore,
`(25)/(6)\approx 4.17` acres of land was left unused.