SOLUTION: if three times a number,added to 2 is divided by the number plus 8, the result is eight thirds. Find the number

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Question 888633: if three times a number,added to 2 is divided by the number plus 8, the result is eight thirds. Find the number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
three times a number, added to 2 is divided by the number plus 8, the result is eight thirds.
Find the number
:
let n= "the number"
:
Just write an equation for what it says
%28%283n%2B2%29%29%2F%28%28n%2B8%29%29 = 8%2F3
Cross multiply
3(3n + 2) = 8(n + 8)
9n + 6 = 8n + 64
9n - 8n = 64 - 6
n = 58 is the number
:
:
See if this works
%28%283%2858%29%2B2%29%29%2F%28%2858%2B8%29%29 =
%28%28176%29%29%2F%28%2866%29%29 reduces to 8%2F3