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