Question

Mr. and mrs. Robinson won a sum of money in a lottery. They decided to use 2/5 of their winning as a down payment on a house and 3/10 of the remaining amount to furnish their new home. What fraction of their winning was left ?

Answer 1

The fraction of winning money which is left is
`(49 x )/(50)`

Explanation:

Given as :

Let The money won in a lottery = $ x

The money use as down payment on a house =
`(2)/(5)` of x

So, the remaining money = $ x - $
`(2)/(5)` of x

I.e the remaining money =
`(5 x - 2 x)/(5)`

Or, the remaining money =
`(3 x )/(5)`

Now, again

The amount use to furnish the new home =
`(3)/(10)` of remaining

Or, The amount use to furnish the new home =
`(3)/(10)` ×
`(3 x )/(5)`

So, The amount use to furnish the new home =
`(9 x )/(50)`

Now, The left amount of the winning = x -
`(9 x )/(50)`

i.e The left amount of the winning =
`(50 x - 9 x )/(50)`

Or. The left amount of the winning =
`(49 x )/(50)`

Hence The fraction of winning money which is left is
`(49 x )/(50)` answer