Final answer:
The total volume of the cough syrup mixture is 3.525 liters, which is found by adding 1.55 liters of syrup, 0.725 liters of cherry flavor, and 1.25 liters of water.
Step-by-step explanation:
When a pharmacist mixes cough syrup, the total volume of the mixture can be calculated by adding the volume of each component. Given that the volumes are 1,550 milliliters of syrup, 725 milliliters of cherry flavor, and 1.25 liters of water, we first need to ensure all volumes are in the same units.
To convert milliliters to liters, we use the conversion factor 1 liter = 1,000 milliliters:
- 1,550 milliliters of syrup is 1.55 liters.
- 725 milliliters of cherry flavor is 0.725 liters.
Now we can add the volumes in liters:
- 1.55 liters (syrup)
- 0.725 liters (cherry flavor)
- 1.25 liters (water)
The total volume is:
1.55 + 0.725 + 1.25 = 3.525 liters
Therefore, once mixed, the total volume of the cough syrup is 3.525 liters.