SOLUTION: If 1/3 plus 1/4 plus 1/8 of a number equals 585 what is the number?

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Question 472783: If 1/3 plus 1/4 plus 1/8 of a number equals 585 what is the number?
Found 2 solutions by Tatiana_Stebko, Alan3354:
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Let x is a number
then 1/3 of number is %281%2F3%29x, 1/4 of number is %281%2F4%29x, 1/8 of number is %281%2F8%29x,
%281%2F3%29x%2B%281%2F4%29x%2B%281%2F8%29x=585
%288x%2B6x%2B3x%29%2F24=585multiply by 24
17x=14040 divide by 17
x=14040%2F17
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Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If 1/3 plus 1/4 plus 1/8 of a number equals 585 what is the number?
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n is the number
n/3 + n/4 + n/8 = 585
8n/24 + 6n/24 + 3n/24 = 585
17n/24 = 585
n/24 = 585/17
n = 24*585/17
n =~ 825.88