In how much water do you need to dissolve 60 grams of sugar to get a 15% solution?

The mass fraction of a substance dissolved in a solution (W) is calculated by the formula:
the mass of the substance divided by the mass of the solution and multiplied by 100%.
Given:
m sugar = 60g
W = 15%
m (H2O) = xg
Decision.
W = m sugar / m solution * 100%
m solution = m (H2O) + m sugar.
15% = (60 / x) * 100%
x = 60 * 100/15 = 400 (g) is the mass of the solution.
m (H2O) = 400 – 60 = 340 (g)
Answer. To obtain a 15% solution, 60 g of sugar must be dissolved in 340 g of water.



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