Further mathf

In a senior secondary school, 80 students play hockey or football. The number that play football is 5 more than twice the number that play hockey. If the 15 students play both games and every student in the school playsat least one game, find:
The number of students that play football;
The number of students that play football but not hockey;
The number of students that play hockey but not footbal.

  1. 👍 5
  2. 👎 2
  3. 👁 1,199
  1. number who play hockey ---- x
    number who play football -- 2x+5

    x + 2x+5 = 80
    x = 25

    so 25 play hockey, 55 play football, and 15 play both

    now we can use a Venn diagram, filling in as follows:
    15 in the intersection
    55-15 or 40 in the football only part of the circle
    25-15 or 10 in the hockey only part of the circle

    All your questions can now be easily answered.

    1. 👍 4
    2. 👎 4
  2. solve it for me

    1. 👍 2
    2. 👎 0
  3. pls i really need the working and answer,can u help me with it

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    2. 👎 0
  4. I don't get what reiny is trying to say

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    2. 👎 0
  5. In a senior secondary school, 80 students play hockey or football. The number that play football is 5 more than twice the number that play hockey. If the 15 students play both games and every student in the school playsat least one game, find:
    The number of students that play football;
    The number of students that play football but not hockey;
    The number of students that play hockey but not football. Full working sir

    1. 👍 0
    2. 👎 0
  6. U={80}
    5 more than twice of the number of hockey players plays football.
    Let the hockey players(H) be X
    Football players(F) be 2X+5
    To find X
    2X+5=FnH'+15. Equation1 X=HnF'+15. Equation2
    80=(2X+5-15)+15+(X-15)
    X=30

    From here substitute X into equation1 and 2 to get F only nd H only

    And remember that F will become 2(30)+5=65

    1. 👍 2
    2. 👎 0
  7. In the department of mathematics, unilag, 80 students play hockey or football. The number that play football is 5 more than twice the number that play hockey. If 15 students play both games and every student in school plates at least one game. Find the number of students that play football but not hockey

    1. 👍 0
    2. 👎 0
  8. H=x
    F=5+2x
    Therefore, x+5+2x+15=80
    3x+20=80
    3x=60
    X=20

    Proof: x+5+2x+15
    20+5+40+15=80

    1. 👍 0
    2. 👎 0

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