SOLUTION: If one half a number is subtracted from five-sixths of the number, the difference is 6. Find the number! Thanks in advance~ ac

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Question 56232: If one half a number is subtracted from five-sixths of the number, the difference is 6. Find the number!
Thanks in advance~
ac
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
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:
%285%2F6%29x-%281%2F2%29x=6 The lcd is 6
%285%2F6%29-%28%283%2A1%29%2F%283%2A2%29%29x=6
%285%2F6%29x-%283%2F6%29x=6
%282%2F6%29x=6
%281%2F3%29x=6
3%281%2F3%29x=3%286%29
highlight%28x=18%29
Check:
%285%2F6%29%2818%29-%281%2F2%2918=6
5%283%29-9=6
15-9=6
6=6 It checks out!
Happy Calculating!!!