Please help with this Algebra 2 question. What's the answer?

A party has fourteen guests. The number of women is eleven less than four times the number of males. Find the number of female guests.

9 Answers

Relevance
  • 6 months ago
    Favorite Answer

    party = 14

    w = 4m - 11

    w + m = 14

    w = 4m - 11

    4m - 11 + m = 14

    5m - 11 = 14

    5m = 14 + 11

    5m = 25

    m = 5 -------------- number of males is 5 answer//

    w = 4m - 11

    w = 4(5) - 11

    w = 9 -----------------number of woman is 9 answer//

    • Login to reply the answers
  • Ian H
    Lv 7
    6 months ago

    f = 4(14 - f) - 11 = 45 - 4f

    f = 9

    • Login to reply the answers
  • ?
    Lv 7
    6 months ago

    > A party has fourteen guests.

    TRANSLATION. F+M = 14............[1]

    > The number of women is eleven less than four times the number of males.

    TRANSLATION. F = 4M - 11.........[2]

    > Find the number of female guests

    TRANSLATION. Solve for F

    // You have a system of 2 equations and 2 unknowns.

    F+M = 14...........[1]

    F= 4M - 11.........[2]

    // Solve by SUBSTITUTION.

    // Substitute for F from [2] into [1]

    // and solve for M

    F+M = 14...........[1]

    (4M-11) + M = 14

    5M - 11 = 14

    5M = 14 + 11

    5M = 25

    M = 5.................[3]

    // Substitute for M from [3] into [2]

    // and solve for F

    F= 4M - 11.........[2]

    F = 4 (5) - 11

    F = 20 - 11

    F = 9......................ANS

    • Login to reply the answers
  • 6 months ago

    x = male, y = female

    x + y = 14 thus x = 14 - y

    y = 4x - 11

    sub x from first eqtn

    y = 4(14 - y) - 11

    y = 56 - 4y - 11

    y = -4y + 45

    5y = 45

    y = 45 / 5 = 9 women

    women + men = 14 thus 5 men.

    • Login to reply the answers
  • How do you think about the answers? You can sign in to vote the answer.
  • 6 months ago

    F + 11 = 4(14 - F) =>

    5F = 56 - 11 =>

    F = 9, the number of females.

    • Login to reply the answers
  • 6 months ago

    W + M = 14

    W = 4M - 11

    Substitute

    4M - 11 + M = 14

    5M = 25

    M = 5

    Hence

    W = 9

    • Login to reply the answers
  • m + w = 14

    w = 4m - 11

    m + 4m - 11 = 14

    5m = 25

    m = 5

    m + w = 14

    5 + w = 14

    w = 9

    • Login to reply the answers
  • 6 months ago

    9..................

    Source(s): lots of summer school (and my toes)
    • Login to reply the answers
  • 6 months ago

    9 female guests with 5 males

Still have questions? Get your answers by asking now.