Question

Terri spent three-eighths of her monthly salary on rent and one-third of her monthly salary on food. If she has $294 left, what is her monthly salary?

Answer 1

Terri's monthly salary is `$1008`

Explanation:

If Terri's monthly salary is `x`, the amount she spent on rent is `3/8x` and the amount she spent on food is `1/3x`. 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`

Answer 2

$1008.00

Explanation:

Spent `3/8 + 1/3` of her salary

This is a total of `(9+8)/24 = 17/24` of her salary

The amount left was `(24-17)/24 = 7/24`

Let the monthly salary be `x`

Then `" "7/24 x = $294`

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