Question 596025
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 <font color="red">14 lots</font>.