if we say for x unit 10% alcohol mixture we need 1 unit 80% alcohol mixture which results as (x+1) unit 15% alcohol mixture:
x(10%) + (80%) = (x+1)*(15%)
if we divide each side by 5% to find x:
2x + 16 = 3x + 3
x = 13
So,
910ml / 13 units = 70 ml of 80% alcohol solution needed.