How many grams of a 16.2 % sugar solution contain 53.0 g of sugar?

Answer 1

When given concentration as a percent, we can assume that it's weight by volume. In other words, "16.2%" = "16.2 g/100 mL solution".

Starting with 53.0 g sugar...

53.0 g (100 mL / 16.2g)=327 mL solution.

Note that the problem asked for grams of solution. Without further information on density, we can assume that the density of the sugar solution is the same as that of water (1g/mL). So 327 mL~ 327g.