Question 596025: how many 2/3 acres lots can fill a 9 3/4 acres of land?
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! Let x = # of lots
If each lot is 2/3 of an acre, then x lots will be total of (2/3)x acres
We want this to be 9 3/4, so...
(2/3)x = 9 3/4
(2/3)x = 9 + 3/4
(2/3)x = 36/4 + 3/4
(2/3)x = 39/4
2x = 3*(39/4)
2x = 117/4
x = (117/4)/2
x = (117/4)*(1/2)
x = 117/8
x = (112 + 5)/8
x = 112/8 + 5/8
x = 14 + 5/8
x = 14 5/8
So you need 14 5/8 lots, but you can only have a whole number of lots. So round down to get the final answer of 14 lots.
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