Mixed 4 liters of 15% sugar syrup and 2 liters of 20% sugar syrup. How much sugar do you need

Mixed 4 liters of 15% sugar syrup and 2 liters of 20% sugar syrup. How much sugar do you need to add to get 6 liters of 75% sugar syrup?

First, find the amount of sugar in the two syrups.

To do this, multiply the volume by the percentage of sugar.

Will be:

4 * 15% = 4 * 0.15 = 0.6 l (in the first syrup).

2 * 20% = 2 * 0.2 = 0.4 l (in the second syrup).

We find the total mass of syrups.

4 + 2 = 6 liters.

Determine the total amount of sugar in syrups.

0.6 + 0.4 = 1 liter.

For a syrup to contain 75% sugar, it must contain:

6 * 75% = 6 * 0.75 = 4.5 liters.

So you need to add:

4.5 – 1 = 3.5 liters of sugar.

Answer: You need to add 3.5 liters of sugar.