Fraction of children playing trumpet:[tex]$\sf{\frac{3}{4}}$[/tex] play brass instruments.[tex]$\sf{\frac{2}{5}}$[/tex] of these play trumpet.[tex]$\sf{\frac{3}{4} \times \frac{2}{5} = \frac{6}{20}=\frac{3}{10}}$[/tex] If 40 children total:[tex]$\sf{\frac{3}{10} \times 40 = 12}$[/tex] children play trumpet.Final answer:12 children plays trumpet.