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Metric Conversion Constructed Response

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Use the information in the problems to answer Part A and Part B.
1. 
Part A

Takara is working on a science experiment. She has three different liquids. The table shows the volume, in milliliters (mL), of each liquid.

Liquid Volume
LiquidVolume (mL)
A580
B775
C845


Takara makes a mixture by pouring each of the three liquids into one large container. How many liters of the mixture is in the large container? Show your work or explain your answer.

Enter your answer and your work or explanation in the space provided.
  • Student response should include valid explanation or work as well as identify the total volume as 2.2 liters.

    For example: First I added the volumes of each liquid: 580 + 775 + 845 = 2,200. Then, I converted from milliliters to liters by dividing by 1,000: 2,200/1,000 = 2.2. So the large container now holds 2.2 liters of mixture.
2. 
Part B

Takara must now pour equal volumes of the mixture into smaller containers. The maximum volume of each of the small containers is 250 milliliters. What is the fewest number of small containers Takara needs to hold all of the mixture? Show your work or explain your answer.

Enter your answer and your work or explanation in the space provided.
  • Student response should include a valid explanation or work and identify the fewest number of containers needed as 9.

    For example: 1 liter = 1,000 mL, so 1 liter of mixture can be divided into 4, 250 milliliter containers because 1,000/250 = 4. From Part A - there is a total of 2.2 liters of mixture, so 2 liters can go into 8 of the small containers with 0.2 liters left over. 0.2 liters = 200 milliliters, so Takara needs 1 more small container to hold the rest of the mixture. 4 + 4 + 1 = 9 containers

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