Problem Set

    1. Bag A contains red and black marbles in a 3 to 4 ratio.
      Bag B contains red and black marbles in a 4 to 3 ratio.

      Quantity A
      Quantity B
      The total number of red marbles
      in both bags combined
      The total number of black
      marbles in both bags combined

    2. June can run 6 laps in x minutes.
      Miriam can run 11 laps in 2x minutes.

      Quantity A Quantity B
      The number of minutes it takes
      June to run 24 laps
      The number of minutes it takes
      Miriam to run 22 laps

    3. Abe’s quiz scores are 62, 68, 74, and 68.
      Ben’s quiz scores are 66 and 70.

      Quantity A Quantity B
      The score Abe needs on his fifth
      quiz to raise his average to 70
      The score Ben needs on his third
      quiz to raise his average to 70

    4. Set S = {2, 3, 5, 2, 11, 1}

      Quantity A Quantity B
      The average of Set S The mode of Set S if every
      number in the set were doubled

    5. Silky Dark Chocolate is 80% cocoa.
      Rich Milk Chocolate is 50% cocoa.
      Smooth White Chocolate is 0% cocoa.

      Quantity A Quantity B
      Percent cocoa of a mixture of 3 parts
      Silky Dark Chocolate and 1 part
      Smooth White Chocolate
      Percent cocoa of a mixture of
      2 parts Rich Milk Chocolate and
      1 part Silky Dark Chocolate

    6. The average of six numbers is 44.
      The average of two of those numbers is 11.

      Quantity A Quantity B
      The average of the other 4 numbers 77

    7. Tavi drives 113 miles at 50 miles per hour and returns
      via the same route at 60 miles per hour.

      Quantity A Quantity B
      Tavi’s average speed for the entire round trip 55 mph

    8. Joe reaches into a bag containing 5 red, 4 blue, and 8 orange jellybeans,
      and randomly selects three jellybeans.

      Quantity A Quantity B
      The probability of selecting a red,
      then a blue, then an orange jellybean
      The probability of selecting
      a red, then another red, then
      an orange jellybean

    9. Preeti can make 100 sandwiches in 1 hour and 15 minutes.
      Mariska can make 50 sandwiches in 30 minutes.

      Quantity A Quantity B
      The time it would take Preeti and
      Mariska to make a total of 180
      sandwiches, each working at her
      own independent rate
      The time it would take to
      make 110 sandwiches if
      Mariska worked alone for 30
      minutes and then Mariska
      and Preeti worked together
      to finish the job

    10. A particular train travels from Town A to Town B at x miles per hour,
      and then from Town B to Town C at 1.2x miles per hour.

      Quantity A Quantity B
      The train’s travel time from
      Town A to Town B
      The train’s travel time from
      Town B to Town C