If one-half a number is sibtracted from five-sixths of the number, the difference is six. Find the number.
2006-09-16 16:04:50 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Let x be the number.
Then (5/6)x - (1/2)x = 6
(5/6)x - (3/6)x = 6
2/6x = 6
x = 18
2006-09-16 16:09:52 · answer #1 · answered by Bramblyspam 7 · 1⤊ 0⤋
Translate the problem into an equation.
5/6(x)-1/2(x) = 6
one-half = 1/2
a number = x, what we don't know
subtracted = what you think it would be
five-sixth = 5/6
difference = the answer to a subtraction problem
Now solve for x.
Hope this helps. Good Luck.
2006-09-16 23:11:12 · answer #2 · answered by SmileyGirl 4 · 1⤊ 0⤋
Let x be the number that you are looking for.
Then (5/6)x - (1/2)x = 6 should be the algebraic expression of your first sentence. Then, you can combine like terms, so you get
(1/3)x= 6
x = 18
2006-09-16 23:15:39 · answer #3 · answered by FeSO4 2 · 1⤊ 0⤋
5/6x - .5x = 6 (Multiply all by 6)
5x - 3x = 36 (Subtract left side)
2x = 36 (Divide both sides by 2)
x = 18 (Substitute back in for checking)
15 - 9 = 6
2006-09-16 23:09:19 · answer #4 · answered by RobRetz 2 · 1⤊ 0⤋
x=number
5x/6-x/2=6
5x-3x=36
2x=36
x=18
2006-09-17 03:27:09 · answer #5 · answered by Lin 2 · 1⤊ 0⤋
if you're cheating, ur only hurting urself.
2006-09-16 23:37:54 · answer #6 · answered by Lone Star 3 · 0⤊ 1⤋