The total marks Amaya scored more in Music than in Maths is 1/10 * 70 = <<1/10*70=7>>7 marks.
So the total marks she scored in Maths is 70 - 7 = <<70-7=63>>63 marks.
If she scored 20 marks fewer in Maths than in Arts, then he scored 63 + 20 = <<63+20=83>>83 in Arts.
If she scored 10 marks more in Social Studies than in Music, then she scored 70 + 10 = <<10+70=80>>80 marks in Social Studies.
The total number of marks for all the subjects is 70 + 63 + 83 + 80 = <<70+63+83+80=296>>296 marks.
#### 296