Mathematics

Question

There are 36 students in Mr. Meyer's class. Of those students, 5/12 played tag at recess, 1/3 played kickball, and the rest played basketball. How many students in Mr. Meyer's class played basketball?

2 Answer

  • Answer:

    9 students played basketball

    Step-by-step explanation:

    Number of students that played tag:

    36*5/12=

    180/12 = 15 students that played tag

    Number of students that played kickball:

    36*1/3=

    36/3 = 12 students that played kickball

    Number of students that played basketball:

    First, find the total number of students that DIDN'T play basketball:

    15 students played basketball and 12 played kickball, so:

    15 + 12 = 27 students didn't play basketball

    36 - 27 = 9 students played basketball

  • Answer:

    9 students played basketball

    Step-by-step explanation:

    36 students in the class

    5/12 played tag (of the 36)

    1/3 played kickball

    Find a common denominator and add the fractions

    5/12 + 1/3 = 5/12 + 4/12 = 9/12

    9/12 simplifies to 3/4

    3/4 played kickball and tag, the rest played basketball

    Subtract kickball and tag students from 1, to find the fraction of basketball players

    1 - 3/4 = 1/4 of the students played basketball

    The total is 36 students, 1/4 played basketball

    1/4 of 36 = 36/4 = 9

    9 students played basketball

    Let me know if you have any questions!

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