Help with Math Problem: One half of a number is 3 more than one-sixth the same number. What is the number?

Question

Please help me figure out the formula. You don't have to give me the answer, just if you could help me put it into an equation I would truly appreciate it. Thank You! :)

Answer 1

(1/2)x=3+(1/6)x

(1/2-1/6)x=3

(2/6)x=3

x=9

Answer 2

1/2 x = 1/6 x + 3

Answer 3

x/2 + 3 = x/6

Answer 4

multiply 1/2 times n (b/c of means multiply and n is a variable for an unknown number) then subtract 3 (cause it's 3 more than) set that equal to 1/6 times n (of is multiply and you use n again cause its the same number) so..

1/2(n)-3=1/6(n) or if you wanna simplify it:
n/2-3=n/6

Answer 5

Let the number be x

x/2 = x/6 + 3
x/2 - x/6 = 3
(3x - x)/6 = 3
2x/6 = 3
x/3 = 3
x = 9

The number is 9

Answer 6

x/2 = 3 + x/6
x = 6 + 2x/6
x = 6 + x/3
x - x/3 = 6
x(1-1/3) = 6
x(2/3) = 6
x = 6 (3/2)
x = 9

Answer 7

Its 1/2x = 1/6x + 3

Answer 8

firstly, lets rephrase the fractions...........
one half equals three-sixths, right ??
so -- three-sixths of a number is 3 more then one-sixth of it......
three-sixths minus one-sixth is TWO-sixths
so -- TWO-sixths of the number equals three...........
so -- the number is SIX sixths, = 3 X 3
check result.....one half = four and a half........
and one sixth = one and a half ( that's 3 more )


you REALLY want a formula ?? OK then
let number = X
then X/2 - 3 = X/6
or if you prefer :
X/6 + 3 = X/2

regards............ungrymick

Answer 9

let the number be x

1/2(x) = 1/6(x) + 3
3x/6 = (x + 18)/6
3x = x + 18

You should be able to figure it out from there.

Answer 10

1/2x=3+1/6x
1/2x-1/6x=3
3/6x-1/6x=3
2/6x=3
1/3x=3
x=9