Question

a home building contractor bought 4 2/8 acres for $165,000. What was the cost of each acre? (round to nearest dollar.)

Answer 1

$ 38,824

Explanation:

Total Area of land that was bought =
`4(2)/(8)` acres

Total Cost of this area = $ 165,000

We have to find the cost of 1 acre of land.

Cost of
`4(2)/(8)` acres of land = $ 165,000

Dividing both sides by
`4(2)/(8)`, we get:

Cost of 1 acre of land = $ 165,000 ÷
`4(2)/(8)`

= $ 38,824

Thus the cost of each acre of land is $ 38,824 (rounded to nearest dollar)

Answer 2

Answer: $38,824

Explanation:

Convert the mixed number
`4\ (2)/(8)` as a decimal number.

Divide the numerator by the denominator and add it to the whole number 4. Then:

`4+0.25=4.25acres`

Then, knowing that 4.25 acres cost $165,000 , divide this amount by 4.25 acres to find the cost of each acre.

Therefore, you get that the cost of each acre rounded to nearest dollar is:

`cost=(\$165,000)/(4.25)\\cost=\$38,824`