Can anyone please tell me the steps needed to solve this:
r = 0.5272 x (r + 282); r = 314.4
I know the answer, I do not know to arrive at it.
Thanks for your reply. Unfortunately, I am still in the dark as I can not understand how you arrived at the numbers. I am a very elderly man, long past remembering math and I ask that you help me through the equation step by step. Thank you.
$\displaystyle r = 0.5272 * (r + 282)$
ok we need to multiply out the bracket.
$\displaystyle
0.5272*r = 0.5272r$
$\displaystyle 0.5272*282 = 148.6704$
so we get
$\displaystyle 1r = (0.5272r + 148.6704)$
right? get it?
$\displaystyle 1r-0.5272r = 0.5272r - 0.5272r + 148.6704$
which give us 0.4728r on the left hand side and 0r on the right hand side.
$\displaystyle 0.4728r = 148.6704$
then we just need to divide 0.4728 to find r.
$\displaystyle \frac{\rlap{/////}0.4728r}{\rlap{//////}0.4728}=\frac{148.6704}{0.4728}$
that will leave us $\displaystyle r= \frac{148.6704}{0.4728}$
put that in your calculator or do the division by hand.
you get $\displaystyle r = 314.4.$
3s.f. means 3 significant figures.
Hope this helps.