Question 518706
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.
{{{1/4}}}n + {{{1/8}}}n  = n + 100
clear the denominators, mult by 8, results:
2n + n = 8n + 8(100)
3n = 8n + 800
-800 = 8n - 3n
-800 = 5n
n = {{{(-800)/5}}}
n = -160
:
:
See if that works in the original equation
{{{1/4}}}(-160) + {{{1/8}}}(-160)  = -160 + 100
-40 + (-20) = -60; confirms our solution of n = -160