a land developer is dividing 20 acres of land into 2/5 of an acre lot. if each lot is $15,000 what is the total value of the 20 acres.

[20 / (2/5)] * 15,000 = ?

[20/(2/5) 15,000= ?

To find the total value of the 20 acres, we need to first determine the number of lots on the land and then multiply it by the value of each lot.

Step 1: Find the number of lots
To divide 20 acres into 2/5 of an acre lots, we need to divide the total area (20 acres) by the size of each lot (2/5 acres).
number of lots = 20 acres ÷ (2/5 acres)

Step 2: Simplify the division
To divide by a fraction, we can multiply by its reciprocal (the flipped version of the fraction).
number of lots = 20 acres × (5/2 acres)

Step 3: Calculate the number of lots
Multiply the numerators (top numbers) and denominators (bottom numbers).
number of lots = (20 × 5) ÷ 2
number of lots = 100 ÷ 2
number of lots = 50

Step 4: Calculate the total value
To find the total value, multiply the number of lots by the value of each lot.
total value = number of lots × value of each lot
total value = 50 lots × $15,000
total value = $750,000

Therefore, the total value of the 20 acres is $750,000.

To find the total value of the 20 acres of land, multiply the number of lots by the price of each lot.

First, we need to calculate the number of lots that can be created from the 20 acres. Since each lot is 2/5 of an acre, we can find the total number of lots by dividing the total acreage by the size of each lot:

Number of lots = Total acreage / Size of each lot

Number of lots = 20 acres / (2/5 acres)

To simplify this calculation, we can multiply the numerator by the reciprocal of the denominator:

Number of lots = 20 acres × (5/2 acres)

Number of lots = 100 lots

Now that we know there are 100 lots, we can calculate the total value by multiplying the number of lots by the price of each lot:

Total value = Number of lots × Price of each lot

Total value = 100 lots × $15,000/lot

Total value = $1,500,000

Therefore, the total value of the 20 acres of land is $1,500,000.