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------------------------------------------------ Joan is filling a 2-liter soda bottle with different colors of sand to make an art project for her class. She has 1000 milliliters of red sand, 35 centiliters of blue sand, and 2.5 deciliters of yellow sand in the bottle, but it is not full yet.

How many liters of purple sand will she need to use to have the bottle completely full?

To fill her container entirely, Joan will need 0.4 liters of purple sand, once conversions of the volume of red, blue, and yellow sand to litres are done.

Explanation:

The problem is asking to convert different units of volume (milliliters, centiliters, and deciliters) into liters and to then find the remaining volume needed to drain the 2-liter bottle. First, we should note that 1 liter equals 1000 milliliters, 100 centiliters, and 10 deciliters. Therefore, Joan's 1000 milliliters of red sand could be expressed as 1 liter, her 35 centiliters of blue sand as 0.35 liters, and her 2.5 deciliters of yellow sand as 0.25 liters.

Adding these amounts together, she already has 1 + 0.35 + 0.25 = 1.6 liters of sand in the bottle. Since the container has a total capacity of 2 liters, she needs 2 - 1.6 = 0.4 liters of purple sand to fill it entirely.

Learn more about Unit Conversion and Volume Calculation here:

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