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

Answer:

The fraction of winning money which is left is $\frac{49 x }{50}$

Step-by-step explanation:

Given as :

Let The money won in a lottery = $ x

The money use as down payment on a house = $\frac{2}{5}$ of x

So, the remaining money = $ x - $  $\frac{2}{5}$ of x

I.e  the remaining money = $\frac{5 x - 2 x}{5}$

Or,  the remaining money =  $\frac{3 x }{5}$

Now, again

The amount use to furnish the new home =  $\frac{3}{10}$ of remaining

Or, The amount use to furnish the new home =  $\frac{3}{10}$ ×  $\frac{3 x }{5}$

So,  The amount use to furnish the new home = $\frac{9 x }{50}$

Now, The left amount of the winning = x -  $\frac{9 x }{50}$

i.e  The left amount of the winning =  $\frac{50 x - 9 x }{50}$

Or.  The left amount of the winning =  $\frac{49 x }{50}$

Hence The fraction of winning money which is left is $\frac{49 x }{50}$  answer