Answer:
[tex]5\frac{5}{6}\approx 5.833[/tex] acres of land would be needed for 7 houses.
[tex]\frac{25}{6}\approx 4.17[/tex] acres of land was left unused.
Step-by-step 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:
[tex]\frac{5}{6}\times 7[/tex]
[tex]\frac{35}{6}[/tex]
[tex]5\frac{5}{6}\approx 5.833[/tex]
Therefore, [tex]5\frac{5}{6}\approx 5.833[/tex] 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 [tex]5\frac{5}{6}[/tex] from 10 as:
[tex]10-5\frac{5}{6}[/tex]
[tex]10-\frac{35}{6}[/tex]
[tex]\frac{10*6}{6}-\frac{35}{6}[/tex]
[tex]\frac{60}{6}-\frac{35}{6}[/tex]
[tex]\frac{60-35}{6}[/tex]
[tex]\frac{25}{6}[/tex]
[tex]\frac{25}{6}\approx 4.17[/tex]
Therefore, [tex]\frac{25}{6}\approx 4.17[/tex] acres of land was left unused.
