A land developer wants to develop 20 acers of land. Each lot in the development is to be 4/5 of an acer. How many lots will the developer have in 20 acers?
is it 16 lots?
20 divided by 4/5 = 20 * 5/4 = 100/4 = 25
Ok, but isnt 20 divided by 4/5 equal to 25 and therefore 25*5/4= 31 1/4
Whoa -- you're making it more complicated.
The developer will have 25 lots on his 20 acres.
Let's work that backwards.
25 * 4/5 = 100/5 = 20 acres. That works!
So it is 25 lots not 31 1/4?
To calculate the number of lots the land developer will have in 20 acres, we need to divide the total area of land (20 acres) by the area of each lot (4/5 acre).
To calculate the number of lots, use the following formula:
Number of Lots = Total Land Area / Area of Each Lot
Plugging in the values:
Number of Lots = 20 acres / (4/5 acre)
To divide by a fraction, multiply by its reciprocal:
Number of Lots = 20 acres * (5/4 acre)
Now, multiply the numerators together and the denominators together:
Number of Lots = (20 * 5) / (1 * 4) = 100 / 4 = 25
Therefore, the land developer will have 25 lots in 20 acres, not 16.
If each lot is less than one acre, then the developer must have more than 20 lots.
Please try again.