The equation to this mixture problem is as follows:

0.1x + 0.02y = 0.05z = 0.05*(x + y)

and we need to find x.

Statement 1: y = 10, therefore the equation can be simplified to:

0.1x + 0.02*(10) = 0.05*(x + 10), x is the only variable and can be solved. Sufficient.

Statement 2: z = 16

z = x + y
y = z - x = 16 - x

the mixture equation can be simplified to:

0.1x + 0.02*(16 - x) = 0.05*(16), x is the only variable and can be solved. Sufficient.

Choose D.

-BM-

Very nice question and the answer is D)

Bluementors explanation is also good.

Good luck guys!