Question 488159
If i ate 1/3 of corn muffins, gave 1/4 to a friend and I have 9 left, how many did I make? 
:
Let x = no. of muffins to start with
If you ate 1/3 of them, that leaves {{{2/3}}}x, you gave away {{{1/4}}} of this amt
:
{{{2/3}}}x  - ({{{1/4}}} * {{{2/3}}})x = 9
{{{2/3}}}x  - {{{2/12}}}x = 9
:
Get rid of those annoying denominators, multiply by 12
12*{{{2/3}}}x  - 12*{{{2/12}}}x = 12(9)
;
cancel out the denominators and you have
4(2x) - 2x = 108
8x - 2x = 108
6x = 108
x = {{{108/6}}}
x = 18 muffins so you are right!!
:
: