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