SOLUTION: Hi 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 mo

Question 1106439: Hi
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.
thanks
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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) - (A-360) - 240 = A
(A-360) - 240 = 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, (720) = 120 for food
savings + food + clothes + 1/3 of the income = total income
360 + 120 + 240 + (1080) = 1080
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