Joan is filling a liter soda bottle with different colors of sand to make an art project for her class. She has milliliters of red sand, centiliters of blue sand, and 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?

We need to convert the given measurements of red, blue, and yellow sand into liters and then calculate the remaining space in the bottle.

Given that 1 liter is equal to 1000 milliliters, 100 centiliters, or 10 deciliters, we can convert the measurements accordingly. Let's assume Joan has x liters of purple sand left to fill the bottle.

First, we convert the red sand measurement from milliliters to liters by dividing by 1000. Similarly, we convert the blue sand measurement from centiliters to liters by dividing by 100, and the yellow sand measurement from deciliters to liters by dividing by 10.

Let's say Joan has r liters of red sand, b liters of blue sand, and y liters of yellow sand in the bottle. The total amount occupied by the three colored sands is r + b + y liters. To calculate the remaining space in the bottle, we subtract the total volume occupied by the colored sands from the total volume of the bottle, which is x liters. Thus, the remaining space is x - (r + b + y) liters.

Therefore, Joan will need to use (x - (r + b + y)) liters of purple sand to completely fill the bottle.

Learn more about amount click here:
brainly.com/question/32453941
#SPJ11