Garden one and two are both unknown, so I am choosing to call garden 2 X and then label garden 1 with comparisons to X.
It is tempting to list:
Garden Two = X
Garden One = X + 9
BUT there is an easier way. We are told that when 3 bushes are taken from garden 2 (x-3) and put in garden 1 (x + 12) then garden one has 1.5 times more than garden two.
Set it up like this:
1.5 ( x - 3) = x + 12 (because 1.5 times garden 2 will give us garden 1)
1.5x - 4.5 = x + 12 (Distribute)
.5x = 16.5 (Use subtraction to move variables to the right and other numb left)
x = 33 for Garden 2
33 + 9 for Garden 1 = 42
The answer to this is x=3/2
Rate of change means (change)/time elapsed
change=5700 to 7945
7945-5700=2245
time elapsed is from 1998 to 2005 which is 7 years
rate=2245/7yrs=320 and 5/7 people per year
26/3 (improper fraction) 8.667
Same side interior because they are on the same side as the bisector and they are both interior angles. (:
