#### Explanation:

If Terri's monthly salary is $x$, the amount she spent on rent is $\frac{3}{8} x$ and the amount she spent on food is $\frac{1}{3} x$. The amount she spent, plus what she has left over will equal the total she started with:

x=$294+3/8x+1/3x rearranging we get: x-3/8x-1/3x =$294

now we need a common denominator to add the terms in $x$

(24x)/24-(9x)/24-(8x)/24= $294 (7x)/24=$294

x=24/7*$294=$1008

Feb 19, 2016

$1008.00 #### Explanation: Spent $\frac{3}{8} + \frac{1}{3}$of her salary This is a total of $\frac{9 + 8}{24} = \frac{17}{24}$of her salary The amount left was $\frac{24 - 17}{24} = \frac{7}{24}$Let the monthly salary be $x$Then " "7/24 x =$294

so " " x= $294 xx24/7 =$1008.00