Answer
$P_{red} = χ_{red}\times P_{total} = 0.3125\times 8.21 = 2.5656 = 2.57$ atm
$P_{blue} = χ_{blue}\times P_{total} = 0.25\times 8.21 = 2.0525 = 2.05$ atm
$P_{green} = χ_{green}\times P_{total} = 0.4375\times 8.21 = 3.5919 = 3.59$ atm
Work Step by Step
$P_{Total} = 8.21 atm$
$χ_{red}=\frac{5}{16} = 0.3125$
$χ_{blue}=\frac{4}{16} = 0.25$
$χ_{green}=\frac{7}{16} = 0.4375$
$P_{red} = χ_{red}\times P_{total} = 0.3125\times 8.21 = 2.5656 = 2.57$ atm
$P_{blue} = χ_{blue}\times P_{total} = 0.25\times 8.21 = 2.0525 = 2.05$ atm
$P_{green} = χ_{green}\times P_{total} = 0.4375\times 8.21 = 3.5919 = 3.59$ atm
