A tin contains 20kg of ghee. Rao consumed 2⁄4 of it for preparing medicines. From the remaining ghee Rao used 2⁄5 and 1/2 of it for making laddu and burfi. How much ghee is left? *

1kg ghee is left behind

Step-by-step explanation:

Here, we are to calculate the amount of ghee left.

Firstly, 2/4 was consumed for preparing medicine. This is same as 1/2

The amount used in preparing medicine is thus 1/2 * 20kg = 10kg

amount remaining = 20kg - 10kg = 10kg

She also use 2/5 and 1/2 of the remainder.

The total amount used is 2/5 + 1/2 = 9/10

The amount used is thus 9/10 * 10 = 9kg

what is left is thus 10kg -9kg = 1 kg

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: