19. A container holding 6.75 liters of water is to be used to fill as many 225-milliliter plastic water bottles as possible. How many 225-milliliter bottles can be filled?
Answer: C
30 bottles can be filled.
A container holding 6.75 liters of water can fill 30 bottles of 225 milliliters each. This is calculated by converting liters to milliliters and dividing by the bottle size.
A) 40
Option A is incorrect because filling 40 bottles would require 9,000 milliliters of water (40 x 225 ml), which exceeds the available 6,750 milliliters. Therefore, it is not possible to fill 40 bottles with the given amount of water.
B) 35
Option B is also incorrect as filling 35 bottles would need 7,875 milliliters of water (35 x 225 ml), which again exceeds the total of 6,750 milliliters available. Thus, it is not feasible to fill 35 bottles.
C) 30
Option C is correct because filling 30 bottles requires exactly 6,750 milliliters of water (30 x 225 ml). This matches the total volume of water available in the container, making it the only viable option.
D) 25
Option D is incorrect since filling 25 bottles would only require 5,625 milliliters of water (25 x 225 ml). While this amount is less than what is available, it does not maximize the number of bottles that can be filled, which is the focus of the question.
Conclusion
The correct answer, 30 bottles, utilizes the total volume of water available in the container without exceeding it. Options A, B, and D either exceed the available volume or do not maximize the use of the water, confirming that 30 is the optimal and correct choice.