How many grams of water do you need to evaporate in order to get a 40% sugar solution from 520 g

How many grams of water do you need to evaporate in order to get a 40% sugar solution from 520 g of a solution containing 30% sugar?

According to the condition of the problem, the solution, the mass of which is 520 grams, contained 30% sugar.

So the mass of sugar in the solution was:

520: 100 * 30 = 156 g.

Let’s say that to get a 40% sugar solution, it took x grams of water to evaporate. Then you can write the following equation:

156: (520 – x) = 40: 100,

156 = (520 – x) * 0.4,

156 = 208 – 0.4 * x,

0.4 * x = 208 – 156,

x = 52: 0.4,

x = 130 (g) – you need to evaporate the water.

Answer: 130 grams.