First, let's find out how much sugar is already in the solution.

40% of 300 gm is 120 gm. This means there are 120 gm of sugar in the solution.

Now, we want to make the sugar 50% of the total solution. Let's denote the amount of sugar we need to add as x.

So, the total weight of the solution after adding x gm of sugar will be 300 + x gm.

We want the sugar to be 50% of this new total weight. So, we set up the equation:

120 gm (old sugar) + x gm (new sugar) = 50% of (300 gm + x gm)

Solving this equation will give us the value of x, which is the amount of sugar we need to add.

Let's solve it:

120 + x = 0.5 * (300 + x)
120 + x = 150 + 0.5x
0.5x = 30
x = 60 gm

So, we need to add 60 gm of sugar to the solution to make it 50% sugar.

Question

First, let's find out how much sugar is already in the solution.

40% of 300 gm is 120 gm. This means there are 120 gm of sugar in the solution.

Now, we want to make the sugar 50% of the total solution. Let's denote the amount of sugar we need to add as x.

So, the total weight of the solution after adding x gm of sugar will be 300 + x gm.

We want the sugar to be 50% of this new total weight. So, we set up the equation:

120 gm (old sugar) + x gm (new sugar) = 50% of (300 gm + x gm)

Solving this equation will give us the value of x, which is the amount of sugar we need to add.

Let's solve it:

120 + x = 0.5 * (300 + x)
120 + x = 150 + 0.5x
0.5x = 30
x = 60 gm

So, we need to add 60 gm of sugar to the solution to make it 50% sugar.

Knowee AI · Accepted Answer