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

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SaniShahbaz SaniShahbaz · Answer 1 · 2019-04-23T23:56:23+02:00

Answer:

$ 38,824

Step-by-step explanation:

Total Area of land that was bought = [tex]4\frac{2}{8}[/tex] acres

Total Cost of this area = $ 165,000

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

Cost of [tex]4\frac{2}{8}[/tex] acres of land = $ 165,000

Dividing both sides by [tex]4\frac{2}{8}[/tex], we get:

Cost of 1 acre of land = $ 165,000 ÷ [tex]4\frac{2}{8}[/tex]

= $ 38,824

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

luisejr77 luisejr77 · Answer 2 · 2019-04-23T23:58:10+02:00

Answer: $38,824

Step-by-step explanation:

Convert the mixed number [tex]4\ \frac{2}{8}[/tex] as a decimal number.

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

[tex]4+0.25=4.25acres[/tex]

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:

[tex]cost=\frac{\$165,000}{4.25}\\cost=\$38,824[/tex]