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?

Rationale

30 bottles of 225 milliliters can be filled from 6.75 liters of water.

To determine how many 225-milliliter bottles can be filled with 6.75 liters of water, we first convert liters to milliliters, knowing that 1 liter equals 1,000 milliliters. Thus, 6.75 liters equals 6,750 milliliters. Dividing 6,750 milliliters by 225 milliliters per bottle gives us 30 bottles.

A (40) YOUR ANSWER

If 40 bottles could be filled, that would require 40 multiplied by 225 milliliters, which equals 9,000 milliliters. Since 6.75 liters only converts to 6,750 milliliters, it is impossible to fill 40 bottles with the available water.

B (35) YOUR ANSWER

Filling 35 bottles would require 35 multiplied by 225 milliliters, resulting in 7,875 milliliters. Again, since 6.75 liters only provides 6,750 milliliters, it is insufficient to fill 35 bottles.

C (30) CORRECT

This choice is correct because 30 bottles of 225 milliliters require exactly 6,750 milliliters (30 x 225 = 6,750), which matches the total amount of water available in the container.

D (25) YOUR ANSWER

Filling 25 bottles would only require 25 multiplied by 225 milliliters, which equals 5,625 milliliters. While this amount is feasible within the 6,750 milliliters available, it does not represent the maximum number of bottles that can be filled.

Conclusion

The calculation shows that 30 bottles can be filled with the 6.75 liters of water, confirming that this is the maximum number possible given the size of the bottles. The other choices exceed the water supply or do not represent the maximum capacity achievable with the available volume.

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?

30 bottles of 225 milliliters can be filled from 6.75 liters of water.

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