The density of concentrated ammonia, which is 28.0% w/w NH3,is 0.899g/mL.what volume of this reagent should be diluted to 103 mL to make a solution that is 0.036M in NH3?

First, what is the concentration of the NH3? That's

0.899 g/mL x 1000 mL x 0.28 x (1/17) = 14.8 M. We'll call this solution a. We want a solution that is 0.036 M which we will call b. Use the dilution formula of mLa x Ma = mLb x Mb
mLa x 14.8 = 1000 mL x 0.036
solve for mLa or mL of the 14.8 M solution needd.