SOLUTION: When one-fourth of a number is added to one-eighth of the number, the sum is 100 more than the number. What is the number?

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Question 518706: When one-fourth of a number is added to one-eighth of the number, the sum is 100 more than the number. What is the number?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
just write an equation for what it says
:
When one-fourth of a number is added to one-eighth of the number,
the sum is 100 more than the number.
1%2F4n + 1%2F8n = n + 100
clear the denominators, mult by 8, results:
2n + n = 8n + 8(100)
3n = 8n + 800
-800 = 8n - 3n
-800 = 5n
n = %28-800%29%2F5
n = -160
:
:
See if that works in the original equation
1%2F4(-160) + 1%2F8(-160) = -160 + 100
-40 + (-20) = -60; confirms our solution of n = -160