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Standard Drink worksheet

Grades 6–7 · CCSS 6.RP.A.3.c, 6.RP.A.3.d

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • Drink volume: 12 US fl oz
    • Alcohol by volume (ABV): 5%
    • Number of these drinks: 2
    • Standard drink definition: Australian standard drink (10 g of alcohol)

    Find: Number of Australian standard drinks

  2. Problem 2.
    • Drink volume: 10 US fl oz
    • Alcohol by volume (ABV): 5%
    • Number of these drinks: 1
    • Standard drink definition: UK unit (8 g of alcohol)

    Find: Number of UK units

  3. Problem 3.
    • Drink volume: 12 US fl oz
    • Alcohol by volume (ABV): 5%
    • Number of these drinks: 2
    • Standard drink definition: UK unit (8 g of alcohol)

    Find: Number of UK units

  4. Problem 4.
    • Drink volume: 9 US fl oz
    • Alcohol by volume (ABV): 4%
    • Number of these drinks: 1
    • Standard drink definition: UK unit (8 g of alcohol)

    Find: Number of UK units

  5. Problem 5.
    • Drink volume: 12 US fl oz
    • Alcohol by volume (ABV): 7%
    • Number of these drinks: 1
    • Standard drink definition: Australian standard drink (10 g of alcohol)

    Find: Number of Australian standard drinks

  6. Problem 6.
    • Drink volume: 16 US fl oz
    • Alcohol by volume (ABV): 6%
    • Number of these drinks: 1
    • Standard drink definition: UK unit (8 g of alcohol)

    Find: Number of UK units

  7. Problem 7.
    • Drink volume: 12 US fl oz
    • Alcohol by volume (ABV): 5%
    • Number of these drinks: 1
    • Standard drink definition: UK unit (8 g of alcohol)

    Find: Number of UK units

  8. Problem 8.
    • Drink volume: 12 US fl oz
    • Alcohol by volume (ABV): 3%
    • Number of these drinks: 1
    • Standard drink definition: US standard drink (14 g of alcohol)

    Find: Number of US standard drinks

  9. Problem 9.
    • Drink volume: 15 US fl oz
    • Alcohol by volume (ABV): 4%
    • Number of these drinks: 2
    • Standard drink definition: US standard drink (14 g of alcohol)

    Find: Number of US standard drinks

  10. Problem 10.
    • Drink volume: 14 US fl oz
    • Alcohol by volume (ABV): 3%
    • Number of these drinks: 1
    • Standard drink definition: US standard drink (14 g of alcohol)

    Find: Number of US standard drinks

Answer key: Standard Drink worksheet

  1. 1. Number of Australian standard drinks: 2.8

    1. Convert the volume to milliliters (1 US fl oz = 29.57353 mL exactly)

      12 US fl oz×29.57353=354.88 mL
    2. Multiply by the ABV, the share of the drink that is alcohol, to find the volume of pure alcohol

      354.88 mL×5%100=17.744 mL
    3. Multiply by the density of ethanol (0.789 g/mL) to get its weight in grams, since standard drinks are defined in grams

      17.744 mL×0.789=14 g
    4. Multiply by the number of drinks to get the total alcohol

      14 g×2=28 g
    5. Divide by the grams of alcohol in one standard drink (10 g)

      28 g10 g=2.8
  2. 2. Number of UK units: 1.46

    1. Convert the volume to milliliters (1 US fl oz = 29.57353 mL exactly)

      10 US fl oz×29.57353=295.74 mL
    2. Multiply by the ABV, the share of the drink that is alcohol, to find the volume of pure alcohol

      295.74 mL×5%100=14.787 mL
    3. Multiply by the density of ethanol (0.789 g/mL) to get its weight in grams, since standard drinks are defined in grams

      14.787 mL×0.789=11.667 g
    4. Divide by the grams of alcohol in one UK unit (8 g)

      11.667 g8 g=1.46
  3. 3. Number of UK units: 3.5

    1. Convert the volume to milliliters (1 US fl oz = 29.57353 mL exactly)

      12 US fl oz×29.57353=354.88 mL
    2. Multiply by the ABV, the share of the drink that is alcohol, to find the volume of pure alcohol

      354.88 mL×5%100=17.744 mL
    3. Multiply by the density of ethanol (0.789 g/mL) to get its weight in grams, since standard drinks are defined in grams

      17.744 mL×0.789=14 g
    4. Multiply by the number of drinks to get the total alcohol

      14 g×2=28 g
    5. Divide by the grams of alcohol in one UK unit (8 g)

      28 g8 g=3.5
  4. 4. Number of UK units: 1.05

    1. Convert the volume to milliliters (1 US fl oz = 29.57353 mL exactly)

      9 US fl oz×29.57353=266.16 mL
    2. Multiply by the ABV, the share of the drink that is alcohol, to find the volume of pure alcohol

      266.16 mL×4%100=10.646 mL
    3. Multiply by the density of ethanol (0.789 g/mL) to get its weight in grams, since standard drinks are defined in grams

      10.646 mL×0.789=8.4 g
    4. Divide by the grams of alcohol in one UK unit (8 g)

      8.4 g8 g=1.05
  5. 5. Number of Australian standard drinks: 1.96

    1. Convert the volume to milliliters (1 US fl oz = 29.57353 mL exactly)

      12 US fl oz×29.57353=354.88 mL
    2. Multiply by the ABV, the share of the drink that is alcohol, to find the volume of pure alcohol

      354.88 mL×7%100=24.842 mL
    3. Multiply by the density of ethanol (0.789 g/mL) to get its weight in grams, since standard drinks are defined in grams

      24.842 mL×0.789=19.6 g
    4. Divide by the grams of alcohol in one standard drink (10 g)

      19.6 g10 g=1.96
  6. 6. Number of UK units: 2.8

    1. Convert the volume to milliliters (1 US fl oz = 29.57353 mL exactly)

      16 US fl oz×29.57353=473.18 mL
    2. Multiply by the ABV, the share of the drink that is alcohol, to find the volume of pure alcohol

      473.18 mL×6%100=28.391 mL
    3. Multiply by the density of ethanol (0.789 g/mL) to get its weight in grams, since standard drinks are defined in grams

      28.391 mL×0.789=22.4 g
    4. Divide by the grams of alcohol in one UK unit (8 g)

      22.4 g8 g=2.8
  7. 7. Number of UK units: 1.75

    1. Convert the volume to milliliters (1 US fl oz = 29.57353 mL exactly)

      12 US fl oz×29.57353=354.88 mL
    2. Multiply by the ABV, the share of the drink that is alcohol, to find the volume of pure alcohol

      354.88 mL×5%100=17.744 mL
    3. Multiply by the density of ethanol (0.789 g/mL) to get its weight in grams, since standard drinks are defined in grams

      17.744 mL×0.789=14 g
    4. Divide by the grams of alcohol in one UK unit (8 g)

      14 g8 g=1.75
  8. 8. Number of US standard drinks: 0.6

    1. Convert the volume to milliliters (1 US fl oz = 29.57353 mL exactly)

      12 US fl oz×29.57353=354.88 mL
    2. Multiply by the ABV, the share of the drink that is alcohol, to find the volume of pure alcohol

      354.88 mL×3%100=10.646 mL
    3. Multiply by the density of ethanol (0.789 g/mL) to get its weight in grams, since standard drinks are defined in grams

      10.646 mL×0.789=8.4 g
    4. Divide by the grams of alcohol in one standard drink (14 g)

      8.4 g14 g=0.6
  9. 9. Number of US standard drinks: 2

    1. Convert the volume to milliliters (1 US fl oz = 29.57353 mL exactly)

      15 US fl oz×29.57353=443.6 mL
    2. Multiply by the ABV, the share of the drink that is alcohol, to find the volume of pure alcohol

      443.6 mL×4%100=17.744 mL
    3. Multiply by the density of ethanol (0.789 g/mL) to get its weight in grams, since standard drinks are defined in grams

      17.744 mL×0.789=14 g
    4. Multiply by the number of drinks to get the total alcohol

      14 g×2=28 g
    5. Divide by the grams of alcohol in one standard drink (14 g)

      28 g14 g=2
  10. 10. Number of US standard drinks: 0.7

    1. Convert the volume to milliliters (1 US fl oz = 29.57353 mL exactly)

      14 US fl oz×29.57353=414.03 mL
    2. Multiply by the ABV, the share of the drink that is alcohol, to find the volume of pure alcohol

      414.03 mL×3%100=12.421 mL
    3. Multiply by the density of ethanol (0.789 g/mL) to get its weight in grams, since standard drinks are defined in grams

      12.421 mL×0.789=9.8 g
    4. Divide by the grams of alcohol in one standard drink (14 g)

      9.8 g14 g=0.7