# If you mix 150 grams of a 22% sugar solution and 250 grams of a 16% sugar solution, what percent of the mixture is sugar?

##### 1 Answer

The mass percent of the sugar is 18.2 %.

Percent by mass is the mass of the solute divided by the mass of the solution, multiplied by 100.

% by mass =

**Step 1** — Determine the mass of the solute.

We must find the mass of sugar in each solution.

*In the 22 % solution*:

Mass of sugar = 150 g solution ×

*In the 16 % solution*:

Mass of sugar = 250 g solution ×

Total mass of sugar = 33 g + 40 g = 73 g

**Step 2** — Determine the mass of solution.

The total mass of the two solutions is 150 g + 250 g = 400 g

**Step 3** — Determine the percent by mass of the sugar.

% by mass =

The mass percent of the sugar is 18.2 %.