Mr. Thomas spent $1,600 of his savings on a television set and 2/5 of the remainder on a refrigerator. He had 1/3 of his original amount of savings left. What was the cos of the refrigerator?

Answer:The amount spent on the refrigerator is $ 800 . Step-by-step explanation:Given as :The amount spent on television = $ 1600Le The total amount in the account = $ Aso, The amount left in account after spent on television = $ A - $ 1600The amount spent on refrigerator = [tex]\frac{2}{5}[/tex] × ( A - 1600 )The amount left in his saving account = [tex]\frac{1}{3}[/tex] × ANow, According to question A - ( 1600 +  [tex]\frac{2}{5}[/tex] × ( A - 1600 ) ) =  [tex]\frac{1}{3}[/tex] × AOr, A -  [tex]\frac{1}{3}[/tex] × A = 1600 +   [tex]\frac{2}{5}[/tex] × ( A - 1600 )Or, [tex]\frac{2}{3}[/tex] × A = 1600 + [tex]\frac{2}{5}[/tex] × A - [tex]\frac{2}{5}[/tex] × 1600or,  [tex]\frac{2}{3}[/tex] × A -  [tex]\frac{2}{5}[/tex] × A = 1600 - 640Or,  [tex]\frac{10 - 6 }{15}[/tex] × A = 960or,  [tex]\frac{4}{15}[/tex] × A = 960∴ A = [tex]\frac{960\times 15}{4}[/tex] I.e A = 3600 So, The amount in the saving account  is $3600 ∵ , The amount spent on refrigerator = [tex]\frac{2}{5}[/tex] × ( 3600 - 1600 )Or,  The amount spent on refrigerator = [tex]\frac{2}{5}[/tex] × 2000I.e  The amount spent on refrigerator = $ 800Hence The amount spent on the refrigerator is $ 800 . Answer