Final answer:
The total volume of the cough syrup mixture is 3.525 liters, which is the sum of 1.55 liters of syrup, 0.725 liters of cherry flavor, and 1.25 liters of water.
Step-by-step explanation:
When mixing cough syrup, the total volume of the mixture is the sum of the individual volumes of its components. In this case, the pharmacist mixes 1,550 milliliters of syrup, 725 milliliters of cherry flavor, and 1.25 liters of water. To find the total volume, convert all measurements to the same unit (liters in this case) and then add them together.
1,550 milliliters is equivalent to 1.55 liters, and 725 milliliters is equivalent to 0.725 liters. Adding these to 1.25 liters of water, we get:
1.55 liters (syrup) + 0.725 liters (cherry flavor) + 1.25 liters (water) = 3.525 liters
Thus, the total volume of the cough syrup mixture would be 3.525 liters.