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.
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.
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