Question 514983
Just write an equation for what it says
"When one-nineth of a number is added to one-third of the number, the sum is 180 more than the number."
{{{1/9}}}n + {{{1/3}}}n = n + 180
we can use a common denominator for the fractions here
{{{1/9}}}n + {{{3/9}}}n = n + 180
which is
{{{4/9}}}n = n + 180
Multiply both sides by 9
4n = 9(n+180)
4n = 9n + 1620
-1620 = 9n - 4n
-1620 = 5n
n = {{{(-1620)/5}}}
n = -324
;
:
See if that works in the original statement:
{{{1/9}}}(-324) + {{{1/3}}}(-324) = -324 + 180
cancel the 9 and the 3 into -324
-36 - 108 = -144
-144 = -144; confirms our solution of n = -324