Çözüldü Problem Solution by Using Multivariable Equation System

Konusu 'TOEFL - IELTS - SAT - GRE Hazırlık' forumundadır ve Honore tarafından 4 Eylül 2019 başlatılmıştır.

Yüklüyor...
  1. Honore

    Honore Yönetici

    Mesajlar:
    3.554
    Beğenileri:
    392
    Cinsiyet:
    Bay
    Meslek:
    Müh. (Elk./Bilg.)
    A solved example from San Diego State University:

    A man has twenty coins consisting of dimes and quarters. If the dimes were quarters and the quarters were dimes, he would have ninety cents more than he has now. How many dimes and quarters does he have?

    Let x be the number of dimes, y be the number of quarters, and z be the amount of money that the man has.
    It follows that x + y = 20, 0.10x + 0.25y = z, and 0.25x + 0.10y = z + 0.9.
    The first equation gives y = 20 − x, which we substitute into the other equations giving 0.10x + 0.25(20 − x) = z and 0.25x + 0.10(20 − x) = z + 0.9.
    It follows that z + 0.15x = 5 and z − 0.15x = 1.1.
    Subtracting the second equation from the first, gives 0.3x = 3.9 or x = 13.
    It follows that y = 7 and z = $3.05.


    https://jmahaffy.sdsu.edu/courses/s00/math121/introduction/selftest.pdf (Son soru)
    https://jmahaffy.sdsu.edu/courses/s00/math121/introduction/algsolnlong.pdf (Çözümler)

    Not:
    The number of dimes: x = 13
    The number of quarters: y = 7
    Total money the man has: x = 10x + 25y = 10·13 + 25·7 = 305 cents = 3 dollars and 5 cents

  2. Benzer Konular: Problem Solution
    Forum Başlık Tarih
    TOEFL - IELTS - SAT - GRE Hazırlık 2012 Advanced Placement Calculus I Problems and Solutions (92 Questions) 9 Mayıs 2019
    TOEFL - IELTS - SAT - GRE Hazırlık Problem Solution With One Variable Linear Equation 26 Mart 2019
    Matematik - Geometri Doğrunun Analitiği ile Havuz Problemi Çözümü 10 Eylül 2019
    Matematik - Geometri Tek Bilinmeyenli Denklemle Problem Çözümü 8 Eylül 2019
    Matematik - Geometri Dört Değişenli Tek Denklemle Problem Çözümü 28 Ağustos 2019

Sayfayı Paylaş