SOLUTION: I have 1 questions, i wonder if i'm right or something the question is: Rita spends 28% of her ernings in paying taxes, while 70% of the remaining is spent on her living expense

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: I have 1 questions, i wonder if i'm right or something the question is: Rita spends 28% of her ernings in paying taxes, while 70% of the remaining is spent on her living expense      Log On


   

Question 1011998: I have 1 questions, i wonder if i'm right or something
the question is: Rita spends 28% of her ernings in paying taxes, while 70% of the remaining is spent on her living expensese. If she is left with $7560, what was her income (in $)
I calculated:
0,28x on food and 100-28 = 72, which means 0,7 * 0,72 = 0,504x on Rita's living expenses.
So, $7560 = 1x - (0,28x + 0,504x )
= 1x - 0,784x
= 0,216x
=> x = 7560/ 0,216 = $35000, my classmates keep saying it is wrong :(



Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Break the parts of the process described into steps or stages if that helps.

x, the whole earnings before the expenses

%28x-0.28x%29-0.70%28x-0.28x%29=7560
x-0.28x-0.7x%2B%280.7%29%280.28%29x=7560
x%281-0.28-0.7%2B%280.7%29%280.28%29%29=7560
x%2A%280.216%29=7560
x=7560%2F%280.216%29
highlight%28x=35000%29

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

the question is: Rita spends 28% of her ernings in paying taxes, while 70% of the remaining is spent on her living expensese. If she is left with $7560, what was her income (in $)
I calculated:
0,28x on food and 100-28 = 72, which means 0,7 * 0,72 = 0,504x on Rita's living expenses.
So, $7560 = 1x - (0,28x + 0,504x )
= 1x - 0,784x
= 0,216x
=> x = 7560/ 0,216 = $35000, my classmates keep saying it is wrong :(
Pay no attention to them. You're 100% correct! Good work!