Question 56232
Hi ac,
If one half a number is subtracted from five-sixths of the number, the difference is 6.  Find the number!
:
Let the number be:x
Then half the number:(1/2)x
Five-sixths the number:(5/6)x
Problem:
{{{(5/6)x-(1/2)x=6}}}  The lcd is 6
{{{(5/6)-((3*1)/(3*2))x=6}}}
{{{(5/6)x-(3/6)x=6}}}
{{{(2/6)x=6}}}
{{{(1/3)x=6}}}
{{{3(1/3)x=3(6)}}}
{{{highlight(x=18)}}}
Check:
{{{(5/6)(18)-(1/2)18=6}}}
{{{5(3)-9=6}}}
{{{15-9=6}}}
{{{6=6}}}  It checks out!
Happy Calculating!!!