Hello,
Please, see the attached file.
Thanks.
X=2
I have an image showing all work
We know that
[volume of a cone]=pi*r²*h/3
h=70 cm
r=15 cm
[volume of a cone]=pi*15²*70/3----------> 16485 cm³
if <span>Cathy uses 500 cm</span>³ of honey----------------> 1 day
<span>16485 cm</span>³--------------------------------------> X
<span>X=16485/500-----------> 32.97 days
the answer is 33 days </span>
OK. First we have to figure out names for all the numbers you mentioned.
The mysterious number . . . . . call it Q
One fifth of the number . . . . . 0.2 Q
Five times the number . . . . . . 5 Q
Seven times the number . . . . 7 Q
(One fifth plus five times the number) . . . 5.2 Q
(Seven times the number less 18) . . . . . . 7 Q - 18
You said that these last two things are equal,
so I can write . . . . . . . . . . . . . . . . . . 7 Q - 18 = 5.2 Q
Now, subtract 7Q from each side . . . -18 = -1.8 Q
Divide each side by -1.8 . . . . . . . . . . 10 = Q
