SOLUTION: one half of a number is 3 more than one-sixth the same number. What is this number?

Question 30672: one half of a number is 3 more than one-sixth the same number. What is this number?
Answer by blubunny01(20) (Show Source): You can put this solution on YOUR website!
First, write an equation to represent the problem:
Let x = the number you're looking for.
"one half of a number..." =
"...3 more than one-sixth the same number" =
The equation now is:
Now, solve for x:
[subtract both sides by (x/6)]

[multiply both sides by 6 to get rid of the fraction]

[simplify both sides: distribute the 6 on the left-hand side]

[simplify the left side]

[divide both sides by 2]

You can double check whether your answer is right by applying the given conditions to the answer:
"one half of a number": 9/2 = 4.5
"is 3 more than one-sixth the same number": 9/6 = 1.5... 3 more -> 4.5
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