which object will have more acceleration if he uses the same amount of force on each object?

a
2 10 kg boxes
b
10 kg box

The 10 kg box (object b) will have more acceleration if the same amount of force is applied to each object, because it has less mass than the 2 10 kg boxes (object a). According to Newton's Second Law (F=ma), acceleration is inversely proportional to mass, so a lower mass object will have a greater acceleration when the same force is applied.