Question

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 1

The amount spent on the refrigerator is $ 800 .

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 =
`(2)/(5)` × ( A - 1600 )

The amount left in his saving account =
`(1)/(3)` × A

Now, According to question

A - ( 1600 +
`(2)/(5)` × ( A - 1600 ) ) =
`(1)/(3)` × A

Or, A -
`(1)/(3)` × A = 1600 +
`(2)/(5)` × ( A - 1600 )

Or,
`(2)/(3)` × A = 1600 +
`(2)/(5)` × A -
`(2)/(5)` × 1600

or,
`(2)/(3)` × A -
`(2)/(5)` × A = 1600 - 640

Or,
`(10 - 6 )/(15)` × A = 960

or,
`(4)/(15)` × A = 960

∴ A =
`(960* 15)/(4)`

I.e A = 3600

So, The amount in the saving account is $3600

∵ , The amount spent on refrigerator =
`(2)/(5)` × ( 3600 - 1600 )

Or, The amount spent on refrigerator =
`(2)/(5)` × 2000

I.e The amount spent on refrigerator = $ 800

Hence The amount spent on the refrigerator is $ 800 . Answer