Question

Manisha spent two third of her allowance on food. One sixth on shoping. One tenth on books. What fraction of her allowance remained after expenses​

Answer 1

Answer:

20x +5x+3x/30=1

=28x=30

x=30/28=15/14

Answer 2

Answer:

$\frac{1}{15}$ fraction of her allowance remained after expenses.

Given:

Manisha spent two third of her allowance on food. One sixth on shopping. One tenth on books.  

To find:  

Fraction of her allowance remained after expenses.

Solution:

Let her allowance be x

The allowance spent on food = $\frac{2}{3}x$

The allowance spent on shopping = $\frac{1}{6}x$

The allowance spent on books = $\frac{1}{10}x$

Total allowance remaining = x – $\frac{2}{3}x+\frac{1}{6}x + \frac{1}{10}x]$

         = x – $x[ \frac{20 + 5 + 3}{30}]$

         = x – $\frac{14}{15}$

         =$\frac{1}{15}$