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

Answer:

$5\frac{5}{6}\approx 5.833$ acres of land would be needed for 7 houses.

$\frac{25}{6}\approx 4.17$ 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:

$\frac{5}{6}\times 7$

$\frac{35}{6}$

$5\frac{5}{6}\approx 5.833$  

Therefore, $5\frac{5}{6}\approx 5.833$ 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 $5\frac{5}{6}$  from 10 as:

$10-5\frac{5}{6}$

$10-\frac{35}{6}$

$\frac{10*6}{6}-\frac{35}{6}$

$\frac{60}{6}-\frac{35}{6}$

$\frac{60-35}{6}$

$\frac{25}{6}$

$\frac{25}{6}\approx 4.17$

Therefore, $\frac{25}{6}\approx 4.17$ acres of land was left unused.