Question 1106439
Jenny saved 360 dollars of her monthly income and spent 1/6 of the rest on food.
 After spending 240 dollars on clothes, she still hsd 1/3 of her income left. 
 what was her monthly income.
:
let A = the amt of her monthly income
:
After savings - 1/6 of the rest - 240 = 1/3A
(A-360) - {{{1/6}}}(A-360) - 240 = {{{1/3}}}A
{{{5/6}}}(A-360) - 240 = {{{1/3}}}A
Get rid of the fractions, multiply eq by 6
5(A-360) - 6(240) = 2A
5a - 1800 - 1440 = 2A
5A - 3240 = 2A
5A - 2A= 3240
3A = 3240
A = 3240/3
A = $1080 monthly income
;
:
Check
1080 - 360 = 720, {{{1/6}}}(720) = 120 for food
savings + food + clothes + 1/3 of the income = total income
360 + 120 + 240 + {{{1/3}}}(1080) = 1080