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
Salutations!

value of

Multiply 10 and 3

Now, you can solve the equation --

separate the variables aside, and the numbers aside.




Hope I helped (:
Have a great day!
Varies directly means
if y varies directly as x that means
y=kx where k is a constant
so
y=kx
y=2 and 2/3 when y=1/4 then find k
convert 2 and 2/3 to imporoper fraction for ease
2 and 2/3=6/3+2/3=8/3
8/3=k(1/4)
multiply both sides by 4/1 to clear fraction
32/3=k
so now we have
y=(32/3)x
when x=1 and 1/8
find y
convert 1 and 1/8 to imporopor=9/8
y=(32/3)(9/8)
y=(288)/(24)
y=12
Answer:
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