Answer :
Answer:
0.4 l of purple sand
Step-by-step explanation:
Volume to be filled in:
- 2 liter = 2000 ml
Red sand
- 1000 ml
Blue sand
- 35 centiliters = 35*10 ml = 350 ml
Yellow sand
- 2.5 deciliters = 2.5*100 ml = 250 ml
Total volume filled:
- 1000 + 350 + 250 = 1600 ml
Purple sand needed:
- 2000 - 1600 = 400 ml = 0.4 l
Answer is 0.4 l of purple sand required
Final answer:
Joan will need 0.4 liters of purple sand to fill up the remainder of the 2-liter soda bottle, after accounting for the other colors of sand she has already placed in the bottle.
Explanation:
The question asks how many liters of purple sand Joan will need to completely fill a 2-liter soda bottle if she already has 1,000 milliliters of red sand, 35 centiliters of blue sand, and 2.5 deciliters of yellow sand in it. To find the answer, we'll need to convert all quantities to the same unit, milliliters, and then subtract the total amount of sand in the bottle from the bottle's capacity.
Step-by-Step Solution:
- Convert the soda bottle's capacity to milliliters: 2 liters = 2,000 milliliters.
- Convert the amount of blue sand to milliliters: 35 centiliters = 350 milliliters.
- Convert the amount of yellow sand to milliliters: 2.5 deciliters = 250 milliliters.
- Add the amounts of each colored sand: 1,000 mL (red) + 350 mL (blue) + 250 mL (yellow) = 1,600 milliliters.
- Subtract the total amount of sand from the bottle's capacity: 2,000 mL - 1,600 mL = 400 milliliters.
- Convert the remaining volume needed to liters: 400 milliliters = 0.4 liters.
Joan will need 0.4 liters of purple sand to completely fill the 2-liter soda bottle.
Learn more about Volume Calculation here:
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