To determine how much of the 65% alcohol mixture you need to add to the 5% alcohol mixture to obtain a 60% alcohol solution, you can use the following formula:
C1V1 + C2V2 = C3V3
where C1 and V1 are the concentration and volume of the 5% alcohol mixture, C2 and V2 are the concentration and volume of the 65% alcohol mixture, and C3 and V3 are the concentration and volume of the final 60% alcohol solution.
Substituting the given values into the formula, we get:
0.05 x 55 mL + 0.65V2 = 0.6 x (55 mL + V2)
Simplifying and solving for V2, we get:
V2 = 8.33 mL
Therefore, you need to add 8.33 mL of the 65% alcohol mixture to the 5% alcohol mixture to obtain a 60% alcohol solution.