Thomas spent $1600 of his savings on a TV and 2/5 of the remainder on a refrigerator. He had 1/3 of his original amount of savings left. What was the original savings amount?

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Answer 1 · 2016-11-03T15:36:14

$3600

Lets say "x" to "Savings";

#x - (1600 + (2(x-1600)/5)) = x/3#

(Because x is total amaount of savings and he spent $1600 so now he has #2-:5# of the total amount - $1600)
(#x-:3# Because he has #1-:3# of his original amount of savings)

So what is x? Its:

#x + (- 1600 - (2x - 3200)/5)# = #x/3#

#3x + 3(- 1600 +(-2x + 3200)/5) = x#

#3x + (- 4800 + (-6x +9600)/5) = x#

#3x + (-4800 -1.2x + 1920) = x#

#2x = 4800 + 1.2x - 1920#

#0.8x = 2880#

#x = 3600#