Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

Math 20 voting question?

At the student council elections, 3 candidates ran for president. There were 584 students eligible to vote. The first candidate had 40 votes more than the second candidate and the third candidate had 20 fewer votes than the second candidate. What is the maximum number of votes the winning candidate could have received?

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  • 1 decade ago
    Best Answer

    x = number of votes for candidate 1

    y = number of votes for candidate 2

    z = number of votes for candidate 3

    total number of students eligible to vote = 584

    x = (y + 40)

    z = (y - 20)

    y = ?

    584 = x + y + z

    584 = (y + 40) + y + (y - 20)

    584 = 20 + 3y

    584 - 20 = 3y

    564 = 3y

    divide both sides by 3

    188 = y

    x = 188 + 40

    x = 228

    z = 188 - 20

    z = 168

    *The maximum number of votes the winning candidate could have received is 228.

  • 1 decade ago

    Since you have 3 unknowns (3 candidates), you need 3 equations to determine those unknowns. Let A = 1st candidate, B = 2nd candidate, C = 3rd candidate:

    A = 40 + B

    B = 20 + C

    A + B + C = 584

    Substituting 2nd eqn in to 1st:

    A = 40 + (20 + C) = 60 + C

    Plug new A and B in to 3rd eqn:

    (60 + C) + (20 + C) + C = 584

    80 + 3C = 584

    3C = 504

    C = 168

    therefore, B = 188 and A = 228

    check: 168 + 188 + 228 = 584 .. bango

    A = 1st Candidate = 228 votes.

  • 1 decade ago

    584 = x + x-40 + x -60 where x is the winning candidates number of votes

    584 = 3x -100

    684 = 3x

    (divide by 3)

    228 = x

    so the winning candidate got 228 votes the others got 188 and 168

  • 1 decade ago

    Let 2nd candidate=x votes

    (x+40)+x+(x-20)=584

    or3x+20=584

    or 3x=584-20=564

    or x=564/3=188

    so x+40=188+40=228 ans

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  • PMP
    Lv 5
    1 decade ago

    a + b + c = 584

    a = b + 40

    c = b - 20

    a = 228 ; b = 188 ; c = 168

    228

  • 3 years ago

    Hussein says he will decrease taxes for ninety 5% of human beings. this might make him the 1st Democrat president to decrease all and sundry's taxes. If what he says it authentic, and it is not via fact he's a liar, he's the authentic maverick.

  • Anonymous
    1 decade ago

    Most votes possible for the winner is 228.

    Now what do I win??

  • 1 decade ago

    wow....I am really wishing I had paid attention in math class

  • 1 decade ago

    figure it out ure self dum-dum...

    really seriously figure it out yourself ya frikin DA

  • 1 decade ago

    584-60=

    524

    ur welcome!

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