Answer
He: $0.5\text{ atm}$
Ne: $0.3\text{ atm}$
Ar: $0.2\text{ atm}$
Work Step by Step
Total Number of Particles = 10
Number of He Particles = 5
Number of Ne Particles = 3
Number of Ar Particles = 2
Partial Pressure of He = $1.0\text{ atm}*\frac{5}{10}=0.5\text{ atm}$
Partial Pressure of Ne = $1.0\text{ atm}*\frac{3}{10}=0.3\text{ atm}$
Partial Pressure of Ar = $1.0\text{ atm}*\frac{2}{10}=0.2\text{ atm}$