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?

2 Answers
David B.
Feb 19, 2016

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#

Tony B
Feb 19, 2016

$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#

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