SOLUTION: One-third of a number is 8 less than one-helf of the number. Find the number. I don't have a clue where to start on this problem or where to start working it out they don't

Algebra ->  Inequalities -> SOLUTION: One-third of a number is 8 less than one-helf of the number. Find the number. I don't have a clue where to start on this problem or where to start working it out they don't      Log On


   

Question 168234This question is from textbook Principles of Elementary Algebra with Applications
: One-third of a number is 8 less than one-helf of the number. Find the number.

I don't have a clue where to start on this problem or where to start working it out they don't give us an example like this one in our text book. Could you please help me out. It would be greatly appreciated. Thank you so much!! This question is from textbook Principles of Elementary Algebra with Applications

Found 2 solutions by Fombitz, Mathtut:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the number X.
"One-third of a number"
%281%2F3%29X
.
.
.
"is" means equals.
.
.
.
"8 less than one-helf of the number"
%281%2F2%29X-8
.
.
.
Put it all together.
%281%2F3%29X=%281%2F2%29X-8
Multiply both sides by 3%2A2 to get rid of denominators.

2X=3X-48
0=X-48
X=48
Your number is 48.

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
you have one number lets call it x
1/3 of x = 1/2 of x minus 8
(1/3)x=(1/2)x-8
multiply both sides by 6
2x=3x-48
subtract 2x and add 48 on both sides
highlight%28x=48%29