Mr. thomas spent $1600 on a television and 2/ 5 of the remainder on a refrigerator. he had 1/3 of his original amount of savings left. what was mr. thomas' original savings?

So he spent 1600 so x will represent original savings so
x-1600
then he spent 2/5 of the remainder on a refrigerator so
[(x-1600)2]/5
he had 1/3 of original savings left
[(x-1600)2]/5=1/3x
distrubute
(2x-3200)/5=1/3x
multiply both sides by 15
3(2x-3200)=5x
distrubute
6x-9600=5x
subtract 5x from both sides
x-9600=0
add 9600 to both sides
x=9600

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