Question 8876
The equation is based upon the fact that "Her weight is equal to 60 lbs. plus half her weight."


Srart by letting x = thw weight of the woman (if she is like most women I know, in this case, x is REALLY the unknown!)


"Her weight is equal to 60 lbs. plus half her weight."
{{{ x     =    60 + (1/2)* x }}}


You probably don't like that fraction, so just multiply both sides of the equation by 2 and get rid of it.
{{{2x = 120 + 2*(1/2)*x}}}
{{{2x = 120 + x}}}


Subtract x from each side, and you get:
{{{2x - x = 120 + x - x}}}
{{{x = 120}}}


Check it out:  Her weight is 120, which equals 60 plus half of her weight, which is another 60.


You might figure out a way to do this intuitively (like in your head), but I like equations.  They are reliable!


R^2 at SCC