Question 19005
You want to do the following:

60 gm. of 32% sugar solution plus x gm. of 100% sugar solution to make (60+x) gm. of 50% sugar solution.  Change the percents to their decimal equivalents and write the equation.

{{{0.32(60) + x = 0.5(60+x)}}} Simplify and solve for x, the number of grams of sugar to add.

{{{19.2 + x = 30 + 0.5x}}} Subtract 0.5x from both sides.
{{{19.2 + 0.5x = 30}}} Subtract 19.2 from both sides.
{{{0.5x = 10.8}}} Finally, divide both sides by 0.5
{{{x = 21.6}}}

You will need to add 21.6 grams of sugar to the 60 grams of 32% sugar solution to make 81.6 grams of 50% sugar solution.