A number added to one-sixth of itself is 28. Solve and show all working out.

Question

anonymous · Answer

Ok dokey :D That's easy enough, I already know the answer!
Since you are looking for a number that's been multiplied by the function (7/6). That's the same thing as adding 1/6 of the total value. In example, 1 multiplied by (7/6) would equal 7/6. 1/6 added to 1 would also result in the same equation...
You can solve for the original input by dividing by 7/6.

Y= (7/6)x
28 = (7/6)x
28/(7/6) = x
x + 24

anonymous · Answer

x=24***'

anonymous · Answer

Sorry, I don't understand where the (7/6) comes from.

texaschic101 · Answer

A number added to 1/6 of itself is 28
Lets x be the number..
x + 1/6x = 28 (you have to have a common denominator to add fractions....that x is the same as 1/1x....so the common denominator is 6, thus changing the 1/1x to 6/6x, then add it to 1/6x and get 7/6)
6/6x + 1/6x = 28
7/6x = 28
x = 28/(7/6)
x = 28 * 6/7
x = 168/7
x = 24

check..
x + 1/6x = 28
24 + 1/6(24) = 28
24 + 24/6 = 28
24 + 4 = 28
28 = 28 (correct)

anonymous · Answer

Thank you!